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

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Identify equivalent exponential expressions I

Full solution

Q. Which expression is equivalent to

5^4 \times 5

?

\newline

Choices:

\newline

(A)

5^5

\newline

(B)

5^4

\newline

(C)

\frac{1}{5^5}

\newline

(D)

\frac{1}{5^4}

Recognize operation with exponents: Step $1$ : Recognize the operation needed with the exponents. $\newline$ We have $5^4$ multiplied by $5$ , which is the same as $5^1$ . When multiplying with the same base, add the exponents. $\newline$ $5^4 \times 5^1 = 5^{4+1} = 5^5$

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