Question

1. what is (2/3)^4? 16/3 32/243 2/3 16/81

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 numerator and denominator

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

Answer:

$\frac{16}{81}$ (corresponding to the last option in the multiple - choice list)