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Which expression is equivalent to $8^8 \times 8^5$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{8^{13}}$ $\newline$ (B) $8^{40}$ $\newline$ (C) $\frac{1}{8^{40}}$ $\newline$ (D) $8^{13}$

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Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

8^8 \times 8^5

?

\newline

Choices:

\newline

(A)

\frac{1}{8^{13}}

\newline

(B)

8^{40}

\newline

(C)

\frac{1}{8^{40}}

\newline

(D)

8^{13}

Identify Base and Exponents: Step $1$ : Identify the base and the exponents in the expression $8^8 \times 8^5$ . $\newline$ Base: $8$ $\newline$ Exponents: $8, 5$
Combine Exponents: Step $2$ : Combine the exponents since the bases are the same. $\newline$ $8^8 \times 8^5 = 8^{(8+5)} = 8^{13}$
Match Result: Step $3$ : Match the result with the given choices. $\newline$ The expression $8^{13}$ corresponds to choice (D) $8^{13}$ .

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