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Which expression is equivalent to $(7^4)^1$ ? $\newline$ Choices: $\newline$ (A) $7^4$ $\newline$ (B) $7^5$ $\newline$ (C) $\frac{1}{7^4}$ $\newline$ (D) $\frac{1}{7^5}$

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Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

(7^4)^1

?

\newline

Choices:

\newline

(A)

7^4

\newline

(B)

7^5

\newline

(C)

\frac{1}{7^4}

\newline

(D)

\frac{1}{7^5}

Simplify expression: Step $1$ : Simplify the expression $(7^4)^1$ . When a power is raised to another power, we multiply the exponents. $(7^4)^1 = 7^{(4*1)} = 7^4$
Match with choices: Step $2$ : Match the simplified expression to the given choices. $\newline$ The expression $7^4$ corresponds directly to choice (A) $7^4$

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