Question

Find the power of $\frac{3}{8}$³

Answer 1

$\sf Hello!$

$\sf Since,$

$(\dfrac{\sf a}{\sf b})^{\sf n}$ = $\dfrac{\sf a^{n}}{\sf b^{n}}$

$\sf Then,$

$(\dfrac{\sf 3}{\sf 8})^{\sf 3}$ = $\dfrac{\sf 3^{3}}{\sf 8^{3}}$ = $\dfrac{\sf 27}{\sf 512}$

~ $\sf iCarl$

Answer 2

If is $\dfrac{3^3}{8}$ then your answer is

$\dfrac{3\cdot3\cdot3}{8}=\dfrac{27}{8}$

If is $\left(\dfrac{3}{8}\right)^3$ then your answer is

$\dfrac{3}{8}\cdot\dfrac{3}{8}\cdot\dfrac{3}{8}=\dfrac{27}{512}$

Other method.

Use $\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}$

$\left(\dfrac{3}{8}\right)^3=\dfrac{3^3}{8^3}=\dfrac{27}{512}$