Question

when you are evaluating the expression $\left(\frac{1}{5}\
ight)^4$, what number is used as the factor?\
\
\\(\bigcirc\\) a) $\frac{1}{5}$\
\\(\bigcirc\\) b) $\frac{4}{5}$\
\\(\bigcirc\\) c) $5$\
\\(\bigcirc\\) d) $4$\
\
part b\
which of these is equivalent to the expression $\left(\frac{1}{5}\
ight)^4$?\
\
\\(\bigcirc\\) a) $\frac{1}{625}$\
\\(\bigcirc\\) b) $\frac{1}{25}$\
\\(\bigcirc\\) c) $\frac{4}{5}$\
\\(\bigcirc\\) d) $\frac{1}{20}$

Explanation:

Step1: Identify the base (factor)

For $(\frac{1}{5})^4$, the factor (base) is $\frac{1}{5}$.

Step2: Calculate the exponential expression

$$(\frac{1}{5})^4 = \frac{1^4}{5^4} = \frac{1}{5\times5\times5\times5} = \frac{1}{625}$$

Answer:

A) $\frac{1}{5}$
A) $\frac{1}{625}$