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Which expression is equivalent to $8^8 \times 8^3$ ? $\newline$ Choices: $\newline$ (A) $8^{11}$ $\newline$ (B) $8^{24}$ $\newline$ (C) $\frac{1}{8^{24}}$ $\newline$ (D) $\frac{1}{8^{11}}$

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Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

8^8 \times 8^3

?

\newline

Choices:

\newline

(A)

8^{11}

\newline

(B)

8^{24}

\newline

(C)

\frac{1}{8^{24}}

\newline

(D)

\frac{1}{8^{11}}

Identify Operation: Identify the operation needed for $8^8 \times 8^3$ . $\newline$ When multiplying powers with the same base, we add the exponents. $\newline$ $8^8 \times 8^3 = 8^{8+3}$
Add Exponents: Perform the addition of the exponents. $\newline$ $8+3 = 11$ $\newline$ So, $8^8 \times 8^3 = 8^{11}$
Match Result: Match the result with the given choices. $\newline$ The expression $8^{11}$ corresponds to choice $(A)$

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