Question

1. type your answer using / for your fraction: (\frac{1}{2})^4 = \frac{4}{8} \frac{1}{16} \frac{4}{16} \frac{1}{8}

Explanation:

Step1: Apply power - of - a - fraction rule

$(\frac{a}{b})^n=\frac{a^n}{b^n}$, so $(\frac{1}{2})^4=\frac{1^4}{2^4}$.

Step2: Calculate the powers

$1^4 = 1$ and $2^4=2\times2\times2\times2 = 16$. So $\frac{1^4}{2^4}=\frac{1}{16}$.

Answer:

$\frac{1}{16}$