Berikut ini adalah pertanyaan dari unknown pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas
12² =
14² =
Cara susun
14² =
Cara susun
Jawaban dan Penjelasan
Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.
Jawaban:
12 × 12
= 1 × (12 × 12)
= 1 × 144
= 144
14²
= 1 × (14 × 14)
= 1 × 196
= 196
![[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{purple}{e}{\color{lavender}{n}{\color{purple}{d}{\color{lavender}{a}{\color{purple}{h}{\color{lavender}{u}{\color{purple}{l}{\color{lavender}{u}{\color{purple}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex][tex]\tt \color{pink}{Bilangan \: Berpangkat }[/tex]Bilangan berpangkat adalah perkalian berulang-ulang dengan bilangan yang sama sebanyak pangkatnya. Nama lain bilangan berpangkat adalah eksponen. bentuk umum bilangan berpangkat dinyatakan sebagai aⁿ (dibaca a pangkat n), dimana a dikalikan sebanyak n.[tex]\tt \color{pink}{♣Bentuk \: Umum :}[/tex][tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \red{ \sf {a}^{n} = \sf \underbrace{ \: a \times a \times a \times ... \times a \times a}} \\ \green{\sf {}^{ \: \: \: \: \: \: \: \: sebanyak \: n \: faktor} }\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex][tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan :}[/tex][tex]\sf {1}^{1} = 1 × 1 = 2[/tex][tex]\sf {2}^{2} = 2 \times 2 = 4[/tex][tex]\sf {3}^{2} = 3 \times 3 = 9[/tex][tex]\sf{4}^{2} = 4 \times 4 = 16[/tex][tex]\sf {5}^{2} = 5 \times 5 = 25[/tex][tex]\sf {6}^{2} = 6 \times 6 = 36[/tex][tex]\sf {7}^{2} = 7 \times 7 = 49[/tex][tex]\sf {8}^{2} = 8 \times 8 = 64[/tex][tex]\sf {9}^{2} = 9 \times 9 = 81[/tex][tex]\sf {10}^{2} = 10 \times 10 = 100[/tex][tex]\sf {11}^{2} = 11 \times 11 = 121[/tex][tex]\sf {12}^{2} = 12 \times 12 = 144[/tex][tex]\sf {13}^{2} = 13 \times 13 = 169[/tex][tex]\sf {14}^{2} = 14 \times 14 = 196[/tex][tex]\sf {15}^{2} = 15 \times 15 = 225[/tex][tex]\sf {16}^{2} = 16 \times 16= 256[/tex][tex]\sf {17}^{2} = 17 \times 17 = 289[/tex][tex]\sf {18}^{2} = 18 \times 18 = 324[/tex][tex]\sf {19}^{2} = 19 \times 19 = 361[/tex][tex]\sf {20}^{2} = 20 \times 20 = 400[/tex][tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan \: menyederhanakan :}[/tex]15² × 15² == 15^(2 + 2)= 15⁴= 15 × 15 × 15 × 15= 225 × 15 × 15= 3.375 × 15= 50.625- - - - - - - - - - - - - - - -[tex]\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 2 :}[/tex]A² = A × AC² = U × UV² = V × V[tex]\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 3 :}[/tex]K³ = K × K × KZ³ = Z × Z × ZB³ = D × D × D- - - - - - - - - - - - - - - -[tex]\tt \color{blue}{♣Sifat-sifat ~ Perpangkatan:}[/tex][tex]\sf {a}^{n} \times {a}^{m} = {a}^{n + m}[/tex][tex]\sf {a}^{m} \div {a}^{n} = {a}^{m - n}[/tex][tex]\sf( {a}^{n} ) {}^{m} = {a}^{n \times m}[/tex][tex]\sf {(a \times b)}^{n} = {a}^{n} \times {b}^{n}[/tex][tex]\sf {(a \div b)}^{m} = \frac{ {a}^{m} }{ {b}^{m} }[/tex][tex]\sf \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} }[/tex][tex]\sf {a}^{0} = 1[/tex][tex]\sf {a}^{1} = a[/tex]- - - - - - - - - - - - - - - - -[tex]\tt \color{blue}{♣Contoh ~ Perpangkatan ~ 2 :}[/tex]1² = 1 × 1 = 12² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 100[tex]\tt \color{orange}{♣Contoh ~ Perpangkatan ~ 3 :}[/tex]1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1246³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.000[tex]\tt \color{green}{♣Contoh ~ Perpangkatan ~ 4 :}[/tex]1³ = 1 × 1 × 1 × 1 = 42⁴ = 2 × 2 × 2 × 2 = 163⁴ = 3 × 3 × 3 × 3 = 814⁴ = 4 × 4 × 4 × 4 = 2565⁴ = 5 × 5 × 5 × 5 = 6256⁴ = 6 × 6 × 6 × 6 = 1.2967⁴ = 7 × 7 × 7 × 7 = 2.4018⁴ = 8 × 8 × 8 × 8 = 4.0969⁴ = 9 × 9 × 9 × 9 = = 6.56110⁴ = 10 × 10 × 10 × 10 = 10.000[tex]\tt \color{purple}{♣Contoh ~ Perpangkatan ~ 5 :}[/tex]1⁵ = 1 × 1 × 1 × 1 × 1 = 12⁵ = 2 × 2 × 2 × 2 × 2 = 323⁵ = 3 × 3 × 3 × 3 × 3 = 2434⁵ = 4 × 4 × 4 × 4 × 4 = 1.0245⁵ = 5 × 5 × 5 × 5 × 5 = 3.1256⁵ = 6 × 6 × 6 × 6 × 6 = 7.7767⁵ = 7 × 7 × 7 × 7 × 7 = 16.8078⁵ = 8 × 8 × 8 × 8 × 8 = 32.7689⁵ = 9 × 9 × 9 × 9 × 9 = 59.04910⁵ = 10 × 10 × 10 × 10 × 10 = 100.000[tex]\huge \bf{ \color{plum}{P} \color{purple}{e} \color{plum}{m} \color{purple}{b} \color{plum}{a} \color{purple}{h} \color{plum}{a} \color{purple}{s} \color{plum}{a} \color{purple}{n} \color{plum}{}}[/tex]12² == 12 × 12= 144------------------14² == 14 × 14= 196------------------[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{pink}{Learn \ More}}}}}}[/tex]https://brainly.co.id/tugas/47014842https://brainly.co.id/tugas/47013484https://brainly.co.id/tugas/47010415https://brainly.co.id/tugas/46592229[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{skyblue}{Detail \ Jawaban }}}}}}[/tex]Kelas : 9Tingkat : SMP ( Sekolah Menengah Pertama )Mapel : MathBab : 1Materi = Eksponen Kode Mapel : 2Kode Kategorisasi : 9.2.1Kata Kunci : Hasil dari bilangan berpangkat](https://id-static.z-dn.net/files/d8d/88385efa831bbd06e7eefd04d429109e.jpg)
![[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{purple}{e}{\color{lavender}{n}{\color{purple}{d}{\color{lavender}{a}{\color{purple}{h}{\color{lavender}{u}{\color{purple}{l}{\color{lavender}{u}{\color{purple}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex][tex]\tt \color{pink}{Bilangan \: Berpangkat }[/tex]Bilangan berpangkat adalah perkalian berulang-ulang dengan bilangan yang sama sebanyak pangkatnya. Nama lain bilangan berpangkat adalah eksponen. bentuk umum bilangan berpangkat dinyatakan sebagai aⁿ (dibaca a pangkat n), dimana a dikalikan sebanyak n.[tex]\tt \color{pink}{♣Bentuk \: Umum :}[/tex][tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \red{ \sf {a}^{n} = \sf \underbrace{ \: a \times a \times a \times ... \times a \times a}} \\ \green{\sf {}^{ \: \: \: \: \: \: \: \: sebanyak \: n \: faktor} }\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex][tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan :}[/tex][tex]\sf {1}^{1} = 1 × 1 = 2[/tex][tex]\sf {2}^{2} = 2 \times 2 = 4[/tex][tex]\sf {3}^{2} = 3 \times 3 = 9[/tex][tex]\sf{4}^{2} = 4 \times 4 = 16[/tex][tex]\sf {5}^{2} = 5 \times 5 = 25[/tex][tex]\sf {6}^{2} = 6 \times 6 = 36[/tex][tex]\sf {7}^{2} = 7 \times 7 = 49[/tex][tex]\sf {8}^{2} = 8 \times 8 = 64[/tex][tex]\sf {9}^{2} = 9 \times 9 = 81[/tex][tex]\sf {10}^{2} = 10 \times 10 = 100[/tex][tex]\sf {11}^{2} = 11 \times 11 = 121[/tex][tex]\sf {12}^{2} = 12 \times 12 = 144[/tex][tex]\sf {13}^{2} = 13 \times 13 = 169[/tex][tex]\sf {14}^{2} = 14 \times 14 = 196[/tex][tex]\sf {15}^{2} = 15 \times 15 = 225[/tex][tex]\sf {16}^{2} = 16 \times 16= 256[/tex][tex]\sf {17}^{2} = 17 \times 17 = 289[/tex][tex]\sf {18}^{2} = 18 \times 18 = 324[/tex][tex]\sf {19}^{2} = 19 \times 19 = 361[/tex][tex]\sf {20}^{2} = 20 \times 20 = 400[/tex][tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan \: menyederhanakan :}[/tex]15² × 15² == 15^(2 + 2)= 15⁴= 15 × 15 × 15 × 15= 225 × 15 × 15= 3.375 × 15= 50.625- - - - - - - - - - - - - - - -[tex]\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 2 :}[/tex]A² = A × AC² = U × UV² = V × V[tex]\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 3 :}[/tex]K³ = K × K × KZ³ = Z × Z × ZB³ = D × D × D- - - - - - - - - - - - - - - -[tex]\tt \color{blue}{♣Sifat-sifat ~ Perpangkatan:}[/tex][tex]\sf {a}^{n} \times {a}^{m} = {a}^{n + m}[/tex][tex]\sf {a}^{m} \div {a}^{n} = {a}^{m - n}[/tex][tex]\sf( {a}^{n} ) {}^{m} = {a}^{n \times m}[/tex][tex]\sf {(a \times b)}^{n} = {a}^{n} \times {b}^{n}[/tex][tex]\sf {(a \div b)}^{m} = \frac{ {a}^{m} }{ {b}^{m} }[/tex][tex]\sf \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} }[/tex][tex]\sf {a}^{0} = 1[/tex][tex]\sf {a}^{1} = a[/tex]- - - - - - - - - - - - - - - - -[tex]\tt \color{blue}{♣Contoh ~ Perpangkatan ~ 2 :}[/tex]1² = 1 × 1 = 12² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 100[tex]\tt \color{orange}{♣Contoh ~ Perpangkatan ~ 3 :}[/tex]1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1246³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.000[tex]\tt \color{green}{♣Contoh ~ Perpangkatan ~ 4 :}[/tex]1³ = 1 × 1 × 1 × 1 = 42⁴ = 2 × 2 × 2 × 2 = 163⁴ = 3 × 3 × 3 × 3 = 814⁴ = 4 × 4 × 4 × 4 = 2565⁴ = 5 × 5 × 5 × 5 = 6256⁴ = 6 × 6 × 6 × 6 = 1.2967⁴ = 7 × 7 × 7 × 7 = 2.4018⁴ = 8 × 8 × 8 × 8 = 4.0969⁴ = 9 × 9 × 9 × 9 = = 6.56110⁴ = 10 × 10 × 10 × 10 = 10.000[tex]\tt \color{purple}{♣Contoh ~ Perpangkatan ~ 5 :}[/tex]1⁵ = 1 × 1 × 1 × 1 × 1 = 12⁵ = 2 × 2 × 2 × 2 × 2 = 323⁵ = 3 × 3 × 3 × 3 × 3 = 2434⁵ = 4 × 4 × 4 × 4 × 4 = 1.0245⁵ = 5 × 5 × 5 × 5 × 5 = 3.1256⁵ = 6 × 6 × 6 × 6 × 6 = 7.7767⁵ = 7 × 7 × 7 × 7 × 7 = 16.8078⁵ = 8 × 8 × 8 × 8 × 8 = 32.7689⁵ = 9 × 9 × 9 × 9 × 9 = 59.04910⁵ = 10 × 10 × 10 × 10 × 10 = 100.000[tex]\huge \bf{ \color{plum}{P} \color{purple}{e} \color{plum}{m} \color{purple}{b} \color{plum}{a} \color{purple}{h} \color{plum}{a} \color{purple}{s} \color{plum}{a} \color{purple}{n} \color{plum}{}}[/tex]12² == 12 × 12= 144------------------14² == 14 × 14= 196------------------[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{pink}{Learn \ More}}}}}}[/tex]https://brainly.co.id/tugas/47014842https://brainly.co.id/tugas/47013484https://brainly.co.id/tugas/47010415https://brainly.co.id/tugas/46592229[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{skyblue}{Detail \ Jawaban }}}}}}[/tex]Kelas : 9Tingkat : SMP ( Sekolah Menengah Pertama )Mapel : MathBab : 1Materi = Eksponen Kode Mapel : 2Kode Kategorisasi : 9.2.1Kata Kunci : Hasil dari bilangan berpangkat](https://id-static.z-dn.net/files/d7b/cf17b6b118a1abc5b914dea8bb9c22b0.jpg)
![[tex]\tt\huge\color{violet}{\underbrace{\color{plum}{↓ \: }{\color{lavender}{P}{\color{purple}{e}{\color{lavender}{n}{\color{purple}{d}{\color{lavender}{a}{\color{purple}{h}{\color{lavender}{u}{\color{purple}{l}{\color{lavender}{u}{\color{purple}{a}{\color{lavender}{n}{\color{plum}{ \: ↓}}}}}}}}}}}}}}}[/tex][tex]\tt \color{pink}{Bilangan \: Berpangkat }[/tex]Bilangan berpangkat adalah perkalian berulang-ulang dengan bilangan yang sama sebanyak pangkatnya. Nama lain bilangan berpangkat adalah eksponen. bentuk umum bilangan berpangkat dinyatakan sebagai aⁿ (dibaca a pangkat n), dimana a dikalikan sebanyak n.[tex]\tt \color{pink}{♣Bentuk \: Umum :}[/tex][tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \red{ \sf {a}^{n} = \sf \underbrace{ \: a \times a \times a \times ... \times a \times a}} \\ \green{\sf {}^{ \: \: \: \: \: \: \: \: sebanyak \: n \: faktor} }\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex][tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan :}[/tex][tex]\sf {1}^{1} = 1 × 1 = 2[/tex][tex]\sf {2}^{2} = 2 \times 2 = 4[/tex][tex]\sf {3}^{2} = 3 \times 3 = 9[/tex][tex]\sf{4}^{2} = 4 \times 4 = 16[/tex][tex]\sf {5}^{2} = 5 \times 5 = 25[/tex][tex]\sf {6}^{2} = 6 \times 6 = 36[/tex][tex]\sf {7}^{2} = 7 \times 7 = 49[/tex][tex]\sf {8}^{2} = 8 \times 8 = 64[/tex][tex]\sf {9}^{2} = 9 \times 9 = 81[/tex][tex]\sf {10}^{2} = 10 \times 10 = 100[/tex][tex]\sf {11}^{2} = 11 \times 11 = 121[/tex][tex]\sf {12}^{2} = 12 \times 12 = 144[/tex][tex]\sf {13}^{2} = 13 \times 13 = 169[/tex][tex]\sf {14}^{2} = 14 \times 14 = 196[/tex][tex]\sf {15}^{2} = 15 \times 15 = 225[/tex][tex]\sf {16}^{2} = 16 \times 16= 256[/tex][tex]\sf {17}^{2} = 17 \times 17 = 289[/tex][tex]\sf {18}^{2} = 18 \times 18 = 324[/tex][tex]\sf {19}^{2} = 19 \times 19 = 361[/tex][tex]\sf {20}^{2} = 20 \times 20 = 400[/tex][tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan \: menyederhanakan :}[/tex]15² × 15² == 15^(2 + 2)= 15⁴= 15 × 15 × 15 × 15= 225 × 15 × 15= 3.375 × 15= 50.625- - - - - - - - - - - - - - - -[tex]\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 2 :}[/tex]A² = A × AC² = U × UV² = V × V[tex]\tt \color{yellow}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 3 :}[/tex]K³ = K × K × KZ³ = Z × Z × ZB³ = D × D × D- - - - - - - - - - - - - - - -[tex]\tt \color{blue}{♣Sifat-sifat ~ Perpangkatan:}[/tex][tex]\sf {a}^{n} \times {a}^{m} = {a}^{n + m}[/tex][tex]\sf {a}^{m} \div {a}^{n} = {a}^{m - n}[/tex][tex]\sf( {a}^{n} ) {}^{m} = {a}^{n \times m}[/tex][tex]\sf {(a \times b)}^{n} = {a}^{n} \times {b}^{n}[/tex][tex]\sf {(a \div b)}^{m} = \frac{ {a}^{m} }{ {b}^{m} }[/tex][tex]\sf \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} }[/tex][tex]\sf {a}^{0} = 1[/tex][tex]\sf {a}^{1} = a[/tex]- - - - - - - - - - - - - - - - -[tex]\tt \color{blue}{♣Contoh ~ Perpangkatan ~ 2 :}[/tex]1² = 1 × 1 = 12² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 100[tex]\tt \color{orange}{♣Contoh ~ Perpangkatan ~ 3 :}[/tex]1³ = 1 × 1 × 1 = 12³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1246³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.000[tex]\tt \color{green}{♣Contoh ~ Perpangkatan ~ 4 :}[/tex]1³ = 1 × 1 × 1 × 1 = 42⁴ = 2 × 2 × 2 × 2 = 163⁴ = 3 × 3 × 3 × 3 = 814⁴ = 4 × 4 × 4 × 4 = 2565⁴ = 5 × 5 × 5 × 5 = 6256⁴ = 6 × 6 × 6 × 6 = 1.2967⁴ = 7 × 7 × 7 × 7 = 2.4018⁴ = 8 × 8 × 8 × 8 = 4.0969⁴ = 9 × 9 × 9 × 9 = = 6.56110⁴ = 10 × 10 × 10 × 10 = 10.000[tex]\tt \color{purple}{♣Contoh ~ Perpangkatan ~ 5 :}[/tex]1⁵ = 1 × 1 × 1 × 1 × 1 = 12⁵ = 2 × 2 × 2 × 2 × 2 = 323⁵ = 3 × 3 × 3 × 3 × 3 = 2434⁵ = 4 × 4 × 4 × 4 × 4 = 1.0245⁵ = 5 × 5 × 5 × 5 × 5 = 3.1256⁵ = 6 × 6 × 6 × 6 × 6 = 7.7767⁵ = 7 × 7 × 7 × 7 × 7 = 16.8078⁵ = 8 × 8 × 8 × 8 × 8 = 32.7689⁵ = 9 × 9 × 9 × 9 × 9 = 59.04910⁵ = 10 × 10 × 10 × 10 × 10 = 100.000[tex]\huge \bf{ \color{plum}{P} \color{purple}{e} \color{plum}{m} \color{purple}{b} \color{plum}{a} \color{purple}{h} \color{plum}{a} \color{purple}{s} \color{plum}{a} \color{purple}{n} \color{plum}{}}[/tex]12² == 12 × 12= 144------------------14² == 14 × 14= 196------------------[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{pink}{Learn \ More}}}}}}[/tex]https://brainly.co.id/tugas/47014842https://brainly.co.id/tugas/47013484https://brainly.co.id/tugas/47010415https://brainly.co.id/tugas/46592229[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{skyblue}{Detail \ Jawaban }}}}}}[/tex]Kelas : 9Tingkat : SMP ( Sekolah Menengah Pertama )Mapel : MathBab : 1Materi = Eksponen Kode Mapel : 2Kode Kategorisasi : 9.2.1Kata Kunci : Hasil dari bilangan berpangkat](https://id-static.z-dn.net/files/dca/abfc5fa421759addd5047aba1dc9097d.jpg)
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