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Simplify to a single power of 5 :

(5^(2))^(5)
Answer: 5^◻

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

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Division with decimal divisors

Full solution

Q. Simplify to a single power of

5

:

\newline

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

\newline

Answer:

5 ^\square

Apply Power Rule: Apply the power of a power rule. $\newline$ The power of a power rule states that $(a^m)^n = a^{m*n}$ . We will apply this rule to the given expression $(5^{2})^{5}$ . $\newline$ $(5^{2})^{5} = 5^{2*5}$
Multiply Exponents: Multiply the exponents. $\newline$ Now we multiply the exponents $2$ and $5$ to simplify the expression further. $\newline$ $5^{(2*5)} = 5^{10}$
Write Final Answer: Write the final answer. $\newline$ The expression is now simplified to a single power of $5$ . $\newline$ Answer: $5^{10}$

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