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Which expression is equivalent to $(5^2)^1$ ? $\newline$ Choices: $\newline$ (A) $5^2$ $\newline$ (B) $\frac{1}{5^2}$ $\newline$ (C) $\frac{1}{5^3}$ $\newline$ (D) $5^3$

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Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

(5^2)^1

?

\newline

Choices:

\newline

(A)

5^2

\newline

(B)

\frac{1}{5^2}

\newline

(C)

\frac{1}{5^3}

\newline

(D)

5^3

Simplify expression: Step $1$ : Simplify the expression $(5^2)^1$ . When raising a power to another power, you multiply the exponents. $(5^2)^1 = 5^{(2*1)} = 5^2$
Match with choices: Step $2$ : Match the simplified expression to the given choices. $5^2$ corresponds directly to choice (A) $5^2$

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