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Simplify to a single power of 5 :

(5^(4))^(2)
Answer: 5^◻

Simplify to a single power of $5$ : $\newline$ $\left(5^{4}\right)^{2}$ $\newline$ Answer: $5 ^\square$

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Evaluate rational exponents

Full solution

Q. Simplify to a single power of

5

:

\newline

\left(5^{4}\right)^{2}

\newline

Answer:

5 ^\square

Identify base and exponent: Identify the base and the exponent in the expression $(5^{4})^{2}$ . $\newline$ In $(5^{4})^{2}$ , the base is $5^{4}$ , and the outer exponent is $2$ .
Apply power of power rule: Apply the power of a power rule, which states that $(a^m)^n = a^{m*n}$ . $\newline$ $(5^{4})^{2} = 5^{4*2}$
Multiply exponents: Multiply the exponents to simplify the expression. $5^{4\times2} = 5^{8}$
Verify base and exponent: Verify that the base is still $5$ and the exponent is now a single integer. $\newline$ The base is $5$ , and the exponent is $8$ , which is a single integer.

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