Question

1. evaluate each power or expression. 10. (1/4)^3

Explanation:

Step1: Recall power - of - a - fraction rule

For \((\frac{a}{b})^n=\frac{a^n}{b^n}\), here \(a = 1\), \(b = 4\), and \(n=3\).
\((\frac{1}{4})^3=\frac{1^3}{4^3}\)

Step2: Calculate the numerator and denominator

We know that \(1^3=1\times1\times1 = 1\) and \(4^3=4\times4\times4=64\). So \(\frac{1^3}{4^3}=\frac{1}{64}\)

Answer:

\(\frac{1}{64}\)