Question

evaluate. write your answer as a fraction in simplest form.
$left(\frac{2}{3}
ight)^{4}$

Explanation:

Step1: Apply power - of - a - fraction rule

$(\frac{a}{b})^n=\frac{a^n}{b^n}$, so $(\frac{2}{3})^4=\frac{2^4}{3^4}$.

Step2: Calculate the powers

$2^4 = 2\times2\times2\times2=16$ and $3^4 = 3\times3\times3\times3 = 81$. So $\frac{2^4}{3^4}=\frac{16}{81}$.

Answer:

$\frac{16}{81}$