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Which expression is equivalent to $8^3 \times 8^7$ ? $\newline$ Choices: $\newline$ (A) $8^{10}$ $\newline$ (B) $\frac{1}{8^{21}}$ $\newline$ (C) $\frac{1}{8^{10}}$ $\newline$ (D) $8^{21}$

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Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

8^3 \times 8^7

?

\newline

Choices:

\newline

(A)

8^{10}

\newline

(B)

\frac{1}{8^{21}}

\newline

(C)

\frac{1}{8^{10}}

\newline

(D)

8^{21}

Identify Operation: Identify the operation needed for $8^3 \times 8^7$ . $\newline$ When multiplying powers with the same base, we add the exponents. $\newline$ $8^3 \times 8^7 = 8^{3+7}$
Add Exponents: Perform the addition of the exponents. $\newline$ $3 + 7 = 10$ $\newline$ So, $8^3 \times 8^7 = 8^{10}$
Match Result: Match the result with the given choices. $\newline$ The expression $8^{10}$ corresponds to choice $(A)$

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