{"id":7326,"date":"2025-06-02T13:23:22","date_gmt":"2025-06-02T05:23:22","guid":{"rendered":"https:\/\/wondermindedu.com\/?p=7326"},"modified":"2025-11-19T10:32:55","modified_gmt":"2025-11-19T02:32:55","slug":"latihan-soal-dan-jawaban-materi-matematika-sma-eksponen","status":"publish","type":"post","link":"https:\/\/wondermindedu.com\/id\/latihan-soal-dan-jawaban-materi-matematika-sma-eksponen\/","title":{"rendered":"Latihan Soal dan Jawaban Materi Matematika SMA: Eksponen"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Dalam artikel ini, kamu akan menjumpai berbagai jenis latihan soal dan jawaban dari salah satu materi yang akan kamu jumpai di pelajaran matematika kelas 1 SMA, yaitu eksponen.<\/p>\n\n\n\n<p>Penggunaan eksponen dalam kehidupan sehari-hari mungkin nggak begitu terlihat di sekitar kamu. Tetapi, angka kecil-kecil yang ada di atas sebuah bilangan ini membantu banget lho, buat para ilmuwan dan peneliti!<\/p>\n\n\n\n<p>Lho, kok bisa gitu?<\/p>\n\n\n\n<p>Ya bisa, dong! Tanpa kamu sadari, eksponen memegang peranan penting untuk profesi yang membutuhkan perhitungan dalam jumlah angka yang besar, seperti dalam bidang biologi (menghitung pertumbuhan bakteri), ekonomi (menghitung bunga majemuk), dan sosial (menghitung pertumbuhan penduduk).<\/p>\n\n\n\n<p>Nggak perlu berlama-lama, yuk kita simak artikelnya dan kerjakan soal-soal yang tersedia agar pemahaman kamu semakin jelas.<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><a href=\"#apa-itu-eksponen\">Apa Sih, Eksponen Itu?<\/a><\/li>\n\n\n\n<li><a href=\"#sifat-sifat-eksponen\">Eksponen Punya Sifat-Sifat?<\/a><\/li>\n\n\n\n<li><a href=\"#contoh-soal-eksponen\">Beri Aku Contoh Soalnya, Dong!<\/a><\/li>\n<\/ol>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><\/div>\n<\/div>\n\n\n<style id=\"wpforms-css-vars-7950-block-b7042bd0-5d64-4427-8229-a6c38e70d02b\">\n\t\t\t\t#wpforms-7950.wpforms-block-b7042bd0-5d64-4427-8229-a6c38e70d02b {\n\t\t\t\t--wpforms-label-color: #ffffff;\n--wpforms-label-sublabel-color: var(--ast-global-color-2);\n--wpforms-field-border-style: dashed;\n--wpforms-field-menu-color: var(--ast-global-color-5);\n--wpforms-container-padding: 30px;\n--wpforms-container-border-radius: 20px;\n--wpforms-button-border-radius: 50px;\n--wpforms-button-background-color: var(--ast-global-color-5);\n--wpforms-button-text-color: #000000;\n--wpforms-background-color: #1fc0dc;\n--wpforms-background-image: stock;\n--wpforms-field-size-input-height: 43px;\n--wpforms-field-size-input-spacing: 15px;\n--wpforms-field-size-font-size: 16px;\n--wpforms-field-size-line-height: 19px;\n--wpforms-field-size-padding-h: 14px;\n--wpforms-field-size-checkbox-size: 16px;\n--wpforms-field-size-sublabel-spacing: 5px;\n--wpforms-field-size-icon-size: 1;\n--wpforms-label-size-font-size: 18px;\n--wpforms-label-size-line-height: 21px;\n--wpforms-label-size-sublabel-font-size: 16px;\n--wpforms-label-size-sublabel-line-height: 19px;\n--wpforms-button-size-font-size: 20px;\n--wpforms-button-size-height: 48px;\n--wpforms-button-size-padding-h: 20px;\n--wpforms-button-size-margin-top: 15px;\n--wpforms-container-shadow-size-box-shadow: none;\n\t\t\t}\n\t\t\t<\/style><div class=\"wpforms-container wpforms-container-full wpforms-block wpforms-block-b7042bd0-5d64-4427-8229-a6c38e70d02b wpforms-render-modern\" id=\"wpforms-7950\"><form id=\"wpforms-form-7950\" class=\"wpforms-validate wpforms-form wpforms-ajax-form\" data-formid=\"7950\" method=\"post\" enctype=\"multipart\/form-data\" action=\"\/id\/wp-json\/wp\/v2\/posts\/7326\" data-token=\"6722329de7cdca827235dee45d54e352\" data-token-time=\"1778169065\"><div class=\"wpforms-head-container\"><div class=\"wpforms-title\">VOUCHER KELAS DEMO GRATIS BUAT KAMU!<\/div><div class=\"wpforms-description\">Klaim kelas demo gratismu di WonderBlog. Ikut kelas mulai dari SATU JUTAAN\/BULAN!*<\/div><\/div><noscript class=\"wpforms-error-noscript\">Please enable JavaScript in your browser to complete this form.<\/noscript><div id=\"wpforms-error-noscript\" style=\"display: none;\">Please enable JavaScript in your browser to complete this form.<\/div><div class=\"wpforms-field-container\">\t\t<div id=\"wpforms-7950-field_2-container\"\n\t\t\tclass=\"wpforms-field wpforms-field-text\"\n\t\t\tdata-field-type=\"text\"\n\t\t\tdata-field-id=\"2\"\n\t\t\t>\n\t\t\t<label class=\"wpforms-field-label\" for=\"wpforms-7950-field_2\" >Layout Nomor Telepon<\/label>\n\t\t\t<input type=\"text\" id=\"wpforms-7950-field_2\" class=\"wpforms-field-medium\" name=\"wpforms[fields][2]\" >\n\t\t<\/div>\n\t\t<div id=\"wpforms-7950-field_6-container\" class=\"wpforms-field wpforms-field-layout\" data-field-id=\"6\"><div class=\"wpforms-field-layout-rows wpforms-field-large\"><div class=\"wpforms-layout-row\"><div class=\"wpforms-layout-column wpforms-layout-column-25\"><div id=\"wpforms-7950-field_1-container\" class=\"wpforms-field wpforms-field-text\" data-field-id=\"1\"><label class=\"wpforms-field-label\" for=\"wpforms-7950-field_1\">Nama Anda <span class=\"wpforms-required-label\" aria-hidden=\"true\">*<\/span><\/label><input type=\"text\" id=\"wpforms-7950-field_1\" class=\"wpforms-field-small wpforms-field-required\" name=\"wpforms[fields][1]\" aria-errormessage=\"wpforms-7950-field_1-error\" required><\/div><\/div><div class=\"wpforms-layout-column wpforms-layout-column-25\"><div id=\"wpforms-7950-field_3-container\" class=\"wpforms-field wpforms-field-phone\" data-field-id=\"3\"><label class=\"wpforms-field-label\" for=\"wpforms-7950-field_3\">Nomor Telepon <span class=\"wpforms-required-label\" aria-hidden=\"true\">*<\/span><\/label><input type=\"tel\" id=\"wpforms-7950-field_3\" class=\"wpforms-field-medium wpforms-field-required\" data-rule-int-phone-field=\"true\" name=\"wpforms[fields][3]\" placeholder=\"08120000000\" aria-label=\"Nomor Telepon\" aria-errormessage=\"wpforms-7950-field_3-error\" required><\/div><\/div><div class=\"wpforms-layout-column wpforms-layout-column-25\"><\/div><div class=\"wpforms-layout-column wpforms-layout-column-25\"><div id=\"wpforms-7950-field_8-container\" class=\"wpforms-field wpforms-field-content\" data-field-id=\"8\"><div id=\"wpforms-7950-field_8\" class=\"wpforms-field-medium wpforms-field-row\" aria-errormessage=\"wpforms-7950-field_8-error\"><p><img decoding=\"async\" class=\"alignnone wp-image-5524\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/04\/Superclayo-1-150x150.png\" alt=\"\" width=\"100\" height=\"93\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/04\/Superclayo-1-300x279.png 300w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/04\/Superclayo-1-13x12.png 13w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/04\/Superclayo-1.png 536w\" sizes=\"(max-width: 100px) 100vw, 100px\" \/><\/p>\n<div class=\"wpforms-field-content-display-frontend-clear\"><\/div><\/div><\/div><\/div><\/div><\/div><\/div><script>\n\t\t\t\t( function() {\n\t\t\t\t\tconst style = document.createElement( 'style' );\n\t\t\t\t\tstyle.appendChild( document.createTextNode( '#wpforms-7950-field_2-container { position: absolute !important; overflow: hidden !important; display: inline !important; height: 1px !important; width: 1px !important; z-index: -1000 !important; padding: 0 !important; } #wpforms-7950-field_2-container input { visibility: hidden; } #wpforms-conversational-form-page #wpforms-7950-field_2-container label { counter-increment: none; }' ) );\n\t\t\t\t\tdocument.head.appendChild( style );\n\t\t\t\t\tdocument.currentScript?.remove();\n\t\t\t\t} )();\n\t\t\t<\/script><\/div><!-- .wpforms-field-container --><div class=\"wpforms-submit-container\" ><input type=\"hidden\" name=\"wpforms[id]\" value=\"7950\"><input type=\"hidden\" name=\"page_title\" value=\"\"><input type=\"hidden\" name=\"page_url\" value=\"https:\/\/wondermindedu.com\/id\/wp-json\/wp\/v2\/posts\/7326\"><input type=\"hidden\" name=\"url_referer\" value=\"\"><button type=\"submit\" name=\"wpforms[submit]\" id=\"wpforms-submit-7950\" class=\"wpforms-submit\" data-alt-text=\"Data Anda sedang kami catat...\" data-submit-text=\"Saya Mau Promonya!\" aria-live=\"assertive\" value=\"wpforms-submit\">Saya Mau Promonya!<\/button><img decoding=\"async\" src=\"https:\/\/wondermindedu.com\/wp-content\/plugins\/wpforms\/assets\/images\/submit-spin.svg\" class=\"wpforms-submit-spinner\" style=\"display: none;\" width=\"26\" height=\"26\" alt=\"Loading\"><\/div><\/form><\/div>  <!-- .wpforms-container -->\n\n\n<h2 class=\"wp-block-heading\" id=\"apa-itu-eksponen\">Apa Sih, Eksponen Itu?<\/h2>\n\n\n\n<p>Siapa nih yang masih ingat materi saat SMP dulu? Soalnya, materi tentang eksponen ini sudah pernah disinggung saat belajar matematika kelas 9, lho&#8230;<\/p>\n\n\n\n<p>Jadi, eksponen adalah bentuk perkalian dengan bilangan yang sama secara berulang. Sederhananya, eksponen itu perkalian bertingkat pakai angka yang sama, gituuu. Eksponen punya nama lain, lho, yaitu bilangan berpangkat!<\/p>\n\n\n\n<p>Meskipun judulnya perkalian, tapi kamu nggak hanya harus hapal perkalian, ya. Ada beberapa sifat eksponen yang juga harus kamu ketahui agar pemahaman kamu makin mantap.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"sifat-sifat-eksponen\">Eksponen Punya Sifat-Sifat?<\/h2>\n\n\n\n<p>Punya, dong! Dengan sifat-sifat eksponen, kamu nggak perlu ribet mengalikan banyak angka hanya untuk mencari hasil dari satu bilangan eksponen. Sekarang, simak baik-baik ya!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Pangkat Penjumlahan<\/h3>\n\n\n\n<p>a (m) . a(n) = a (m + n) (perkalian eksponen dengan basis yang sama, maka pangkatnya harus ditambah)<br>Contoh: 4(2) . 4(3) = 4(2 + 3) = 4(5)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Pangkat Pengurangan<\/h3>\n\n\n\n<p>a (m):a (n) = a(m \u2013 n) (pembagian eksponen dengan basis yang sama, maka pangkatnya harus dikurang)<br>Contoh: 4(5) : 4(3) = 4(5 \u2013 3) = 4(2)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Pangkat Perkalian<\/h3>\n\n\n\n<p>(a(m))(n) = a(m x n)(jika bilangan berpangkat dipangkatkan lagi, maka pangkatnya harus dikali)<br>Contoh: (4(2))(3) = 4(2 x 3) = 4(6)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Perkalian Bilangan yang Dipangkatkan<\/h3>\n\n\n\n<p>(a . b)(m) = a(m) . b(m) (perkalian bilangan yang dipangkatkan, maka masing-masing bilangan tersebut dipangkatkan juga)<br>Contoh: (3. 5)(2) = 3(2). 5(2)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Perpangkatan pada Bilangan Pecahan<\/h3>\n\n\n\n<p>Untuk bilangan pecahan yang dipangkatkan, maka bilangan pembilang dan penyebutnya harus dipangkatkan semua, dengan syarat nilai \u201cb\u201d atau penyebutnya tidak boleh sama dengan 0.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Pangkat Negatif<\/h3>\n\n\n\n<p>Pada sifat ini, jika (a(n))di bawah itu positif, maka saat dipindahkan ke atas menjadi negatif. Begitu juga sebaliknya, jika (a(n)) di bawah itu negatif, maka saat dipindahkan ke atas menjadi positif. Kita lihat rumus dan contohnya ya.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Pangkat Pecahan<\/h3>\n\n\n\n<p>Pada sifat ini, kamu bisa lihat, terdapat akar n dari a(m). Nah, ketika diubah jadi eksponen, akar n menjadi penyebut dan pangkat m menjadi pembilang, dengan syarat nilai n harus lebih besar atau sama dengan dua (n \u2265 2). Kita lihat rumus dan contohnya ya.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Pangkat Nol<\/h3>\n\n\n\n<p>a(0) = 1. Untuk sifat yang satu ini, syaratnya nilai a tidak boleh sama dengan 0 ya, karena kalo a = 0, maka hasilnya tidak terdefinisi.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"contoh-soal-eksponen\">Belajar Dari Contoh Soal, Yuk!<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 1: Sederhanakan Bentuk Eksponen<\/strong><\/h3>\n\n\n\n<p><strong>Soal:<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"126\" height=\"37\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image.png\" alt=\"\" class=\"wp-image-7327\" style=\"width:99px;height:auto\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image.png 126w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-18x5.png 18w\" sizes=\"(max-width: 126px) 100vw, 126px\" \/><\/figure>\n\n\n\n<p><strong>Penyelesaian:<\/strong><br>Gunakan <strong>sifat eksponen<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"285\" height=\"37\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-1.png\" alt=\"\" class=\"wp-image-7328\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-1.png 285w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-1-18x2.png 18w\" sizes=\"(max-width: 285px) 100vw, 285px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"462\" height=\"40\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-2.png\" alt=\"\" class=\"wp-image-7329\" style=\"width:306px;height:auto\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-2.png 462w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-2-300x26.png 300w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-2-18x2.png 18w\" sizes=\"(max-width: 462px) 100vw, 462px\" \/><\/figure>\n\n\n\n<p><strong>Jawaban:<\/strong><br>729<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 2: Pembagian Ekspone<\/strong>n<\/h3>\n\n\n\n<p><strong>Soal:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"57\" height=\"94\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-3.png\" alt=\"\" class=\"wp-image-7330\" style=\"width:31px;height:auto\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-3.png 57w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-3-7x12.png 7w\" sizes=\"(max-width: 57px) 100vw, 57px\" \/><\/figure>\n\n\n\n<p><strong>Penyelesaian:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"213\" height=\"83\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-5.png\" alt=\"\" class=\"wp-image-7332\" style=\"width:133px;height:auto\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-5.png 213w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-5-18x7.png 18w\" sizes=\"(max-width: 213px) 100vw, 213px\" \/><\/figure>\n\n\n\n<p><br>Gunakan <strong>sifat eksponen<\/strong>, maka:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"393\" height=\"92\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-4.png\" alt=\"\" class=\"wp-image-7331\" style=\"width:299px;height:auto\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-4.png 393w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-4-300x70.png 300w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-4-18x4.png 18w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/figure>\n\n\n\n<p><strong>Jawaban:<\/strong><br>125<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Contoh Soal 3: Pangkat dalam Pangkat<\/strong><\/h3>\n\n\n\n<p><strong>Soal:<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"87\" height=\"45\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-6.png\" alt=\"\" class=\"wp-image-7333\" style=\"width:68px;height:auto\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-6.png 87w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-6-18x9.png 18w\" sizes=\"(max-width: 87px) 100vw, 87px\" \/><\/figure>\n\n\n\n<p><strong>Penyelesaian:<\/strong><br>Gunakan <strong>sifat eksponen<\/strong>:<br>Jika<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"246\" height=\"41\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-7.png\" alt=\"\" class=\"wp-image-7334\" style=\"width:196px;height:auto\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-7.png 246w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-7-18x3.png 18w\" sizes=\"(max-width: 246px) 100vw, 246px\" \/><\/figure>\n\n\n\n<p>Maka: <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"459\" height=\"46\" src=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-8.png\" alt=\"\" class=\"wp-image-7335\" style=\"width:251px;height:auto\" srcset=\"https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-8.png 459w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-8-300x30.png 300w, https:\/\/wondermindedu.com\/wp-content\/uploads\/2025\/06\/image-8-18x2.png 18w\" sizes=\"(max-width: 459px) 100vw, 459px\" \/><\/figure>\n\n\n\n<p><strong>Jawaban:<\/strong><br>4096<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam artikel ini, kamu akan menjumpai berbagai jenis latihan soal dan jawaban dari salah satu materi yang akan kamu jumpai di pelajaran matematika kelas 1 SMA, yaitu eksponen.<\/p>","protected":false},"author":4,"featured_media":7336,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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