Question

Tolong isi penjelasannya ya, jangan ngasal

Answer 1

Verified answer

بِسْـــــــمِ اللّٰهِ الرَّحْمٰنِ الرَّحِيْمِ

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Tuliskan dalam bentuk bilangan berpangkat:

1. [tex]\bold{{5}^{-4}}[/tex]
2. [tex] \bold{( \frac{1}{2})^{3} }[/tex]
3. [tex] \bold{( \frac{a}{8})^{2} }[/tex]
4. [tex]\bold{3,43 × {10}^{-6}}[/tex]

Pembahasan

Nomor 1

Salah satu sifat bilangan berpangkat:

[tex]\boxed{ \frac{1}{ {a}^{n} } = {a}^{ - n} }[/tex]

[tex] \frac{1}{625} = \frac{1}{ {5}^{4} } = {5}^{ - 4} [/tex]

Nomor 2

Salah satu sifat bilangan berpangkat:

[tex] \boxed{ \frac{ {a}^{n} }{ {b}^{n} } = \left( \frac{a}{b} \right)^{n} }[/tex]

[tex] \frac{125}{1000} = \frac{ {5}^{3} }{ {10}^{3} } = ( \frac{5}{10} )^{3} = ( \frac{1}{2}) ^{3} [/tex]

atau

[tex] \frac{125}{1000 } = \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} = \frac{ {1}^{3} }{ {2}^{3} } = {( \frac{1}{2}) }^{3} [/tex]

Nomor 3

[tex] \frac{(8a) \times (2a)}{1024} \\ \\= \frac{16 {a}^{2} }{ {32}^{2} } \\ \\ = \frac{ ({4}^{2} ) {a}^{2} }{ {32}^{2} } \\ \\= \left(\frac{4}{32} \right)^{2} \times {a}^{2} \\ \\ = \left(\frac{1}{8} \right)^{2} \times {a}^{2} \\ \\ = \frac{1}{ {8}^{2} } \times {a}^{2} \\ \\= \frac{ {a}^{2} }{ {8}^{2} } \\ \\ =\left(\frac{a}{8} \right)^{2}[/tex]

Nomor 4

[tex]0.00000343 \\ = 343 \times {10}^{ - 8} \\ = 34.3 \times {10}^{ - 7} \\ = 3.43 \times {10}^{ - 6} [/tex]

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وَاللّٰهُ اَعْلَمُ بِاالصَّوَافَ

Answer 2

Rumus :

1/a = a^-1

a x a = a^(1 + 1) = a^2

0,a = a x 10^-1

(a^a)b = a^(ab)

a^n/b^n = (a/b)^n

0,25 = 25 x 10^-2 = 2,5 x 10^1 x 10^-2 = 2,5 x 10^-1.

3.

a. 1/625 = 1/(25)^2 = 1/(5^2)^2  1/5^4 = 5^-4.

b. 125/1000 = (5/10)^3 = (1/2)^3 = (2^-1)^3 = 2^-3.

c. 8a x 2a / 1024 = 16a^2/1024 = a^2/64 = a^2/8^2 = (a/8)^2.

d. 0,00000343 = 343 x 10^-8 = 3,43 x 10^-6.