evaluate. write your answer as a fraction in simplest form.\n(4/5)^3

Explanation:

Step1: Apply power - of - a - fraction rule

$(\frac{a}{b})^n=\frac{a^n}{b^n}$, so $(\frac{4}{5})^3=\frac{4^3}{5^3}$.

Step2: Calculate the numerator and denominator

$4^3 = 4\times4\times4=64$ and $5^3 = 5\times5\times5 = 125$. So $\frac{4^3}{5^3}=\frac{64}{125}$.

Answer:

$\frac{64}{125}$