7⁴ × 5 = ..
nt : ..
[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}\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}\end{gathered}[/tex]
[tex]\tt \color{yellow}{♣Contoh ~ Perpangkatan :}[/tex]
[tex]\sf {1}^{1} = 1 × 1 = 1[/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 × A
C² = U × U
V² = V × V
[tex]\tt \color{red}{♣Cara ~ Mencari ~ Nilai ~ Perpangkatan ~ 3 :}[/tex]
K³ = K × K × K
Z³ = Z × Z × Z
B³ = 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 = 1
2² = 2 × 2 = 4
3² = 3 × 3 = 9
4² = 4 × 4 = 16
5² = 5 × 5 = 25
6² = 6 × 6 = 36
7² = 7 × 7 = 49
8² = 8 × 8 = 64
9² = 9 × 9 = 81
10² = 10 × 10 = 100
[tex]\tt \color{orange}{♣Contoh ~ Perpangkatan ~ 3 :}[/tex]
1³ = 1 × 1 × 1 = 1
2³ = 2 × 2 × 2 = 8
3³ = 3 × 3 × 3 = 27
4³ = 4 × 4 × 4 = 64
5³ = 5 × 5 × 5 = 124
6³ = 6 × 6 × 6 = 216
7³ = 7 × 7 × 7 = 343
8³ = 8 × 8 × 8 = 512
9³ = 9 × 9 × 9 = 729
10³ = 10 × 10 × 10 = 1.000
[tex]\tt \color{green}{♣Contoh ~ Perpangkatan ~ 4 :}[/tex]
1³ = 1 × 1 × 1 × 1 = 4
2⁴ = 2 × 2 × 2 × 2 = 16
3⁴ = 3 × 3 × 3 × 3 = 81
4⁴ = 4 × 4 × 4 × 4 = 256
5⁴ = 5 × 5 × 5 × 5 = 625
6⁴ = 6 × 6 × 6 × 6 = 1.296
7⁴ = 7 × 7 × 7 × 7 = 2.401
8⁴ = 8 × 8 × 8 × 8 = 4.096
9⁴ = 9 × 9 × 9 × 9 = = 6.561
10⁴ = 10 × 10 × 10 × 10 = 10.000
[tex]\tt \color{purple}{♣Contoh ~ Perpangkatan ~ 5 :}[/tex]
1⁵ = 1 × 1 × 1 × 1 × 1 = 1
2⁵ = 2 × 2 × 2 × 2 × 2 = 32
3⁵ = 3 × 3 × 3 × 3 × 3 = 243
4⁵ = 4 × 4 × 4 × 4 × 4 = 1.024
5⁵ = 5 × 5 × 5 × 5 × 5 = 3.125
6⁵ = 6 × 6 × 6 × 6 × 6 = 7.776
7⁵ = 7 × 7 × 7 × 7 × 7 = 16.807
8⁵ = 8 × 8 × 8 × 8 × 8 = 32.768
9⁵ = 9 × 9 × 9 × 9 × 9 = 59.049
10⁵ = 10 × 10 × 10 × 10 × 10 = 100.000
Pembahasan =
7⁴ × 5 =
= (7 × 7 × 7 × 7) × 5
= (49 × 7 × 7) × 5
= (343 × 7) × 5
= 2.401 × 5
= 12.005
[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{red}{Learn \ More}}}}}}[/tex]
- https://brainly.co.id/tugas/47014842
- https://brainly.co.id/tugas/47013484
- https://brainly.co.id/tugas/46592229
[tex]{ \color{lavender}{ \underbrace{ \huge{ \bold{ \color{skyblue}{Detail \ Jawaban }}}}}}[/tex]
- Kelas : 9
- Tingkat : SMP ( Sekolah Menengah Pertama )
- Mapel : Math
- Bab : 1
- Materi = Eksponen
- Kode Mapel : 2
- Kode Kategorisasi : 9.2.1
- Kata kunci = Hasil dari bilangan berpangkat 7⁴ × 5
[tex]\huge\tt\color{FF6666}{@Mo}\color{FFB266}{c}\color{B2FF66}{hii}\color{66FF66}{k}\color{66FFFF}{u}\color{66B2FF}{u}\color{6666FF}{}\color{B266FF}{}\color{FF66FF}{}\color{FF66B2}{} \color{FF9999}{}\color{FFCC99}[/tex]
pendahuluan
eksponen adalah bilangan berpangkat yang dikalikan secara berulang ulang
sifat bilangan berpangkat
[tex]\sf\:a^n×a^m=a^{n+m}[/tex]
[tex]\sf {a}^{m} \div {a}^{n} = {a}^{m - n}am÷an=am−n[/tex]
[tex]\sf( {a}^{n} ) {}^{m} = {a}^{n \times m}(an)m=an×m[/tex]
[tex]\sf {(a \times b)}^{n} = {a}^{n} \times {b}^{n}(a×b)n=an×bn[/tex]
[tex]\sf {(a \div b)}^{m} = \frac{ {a}^{m} }{ {b}^{m} }(a÷b)m=bmam[/tex]
[tex]\sf \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} }nam=anm[/tex]
[tex]\sf {a}^{0} = 1a0=1[/tex]
[tex]\sf {a}^{1} = aa1=a[/tex]
pembahasan
7⁴ × 5 =
(7 × 7 × 7 × 7) × 5 =
2.401 × 5 =
12.005
kesimpulan
jawabannnya adalah 12.005☑
pelajari lebih lanjut
untuk cara mengoperasikan eksponen ada di link
- https://brainly.co.id/buku-sekolah/b-matematika-3-untuk-smp-mts-kelas-ix-9786024347437
- https://brainly.co.id/tugas/48825022
detail jawaban
❐kelas : 9 smp
❐mapel : matematika
❐bab : 1 pangkat(eksponen)bilangan bulat dan bentuk akar
❐kata kunci : eksponen
