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Write each number as a power of 5 .
a 0.2
b 25

Write each number as a power of $5$ . $\newline$ a $0$ . $2$ $\newline$ b $25$

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Powers with fractional bases

Full solution

Q. Write each number as a power of

5

.

\newline

a

0

.

2

\newline

b

25

Identify Power of $5$ : Identify the power of $5$ that equals $0.2$ . $0.2$ is the same as $\frac{1}{5}$ , which is $5$ to the power of $-1$ . So, $0.2$ as a power of $5$ is $5^{-1}$ .
Find Power of $5$ for $0$ . $2$ : Now, let's find the power of $5$ that equals $25$ . $\newline$ $25$ is $5$ times $5$ , which is $5$ to the power of $2$ . $\newline$ So, $25$ as a power of $5$ is $5^2$ .

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