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Which expression is equivalent to $7^6 \times 7^2$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{7^{12}}$ $\newline$ (B) $7^8$ $\newline$ (C) $7^{12}$ $\newline$ (D) $\frac{1}{7^8}$

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Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

7^6 \times 7^2

?

\newline

Choices:

\newline

(A)

\frac{1}{7^{12}}

\newline

(B)

7^8

\newline

(C)

7^{12}

\newline

(D)

\frac{1}{7^8}

Combine exponents of same base: Step $1$ : Combine the exponents of the same base. $\newline$ When multiplying powers with the same base, we add the exponents. $\newline$ $7^6 \times 7^2 = 7^{(6+2)} = 7^8$
Match with given choices: Step $2$ : Match the result with the given choices. $\newline$ We found that $7^6 \times 7^2$ simplifies to $7^8$ . $\newline$ Comparing with choices: $\newline$ (A) $\frac{1}{7^{12}}$ - Incorrect $\newline$ (B) $7^8$ - Correct $\newline$ (C) $7^{12}$ - Incorrect $\newline$ (D) $\frac{1}{7^8}$ - Incorrect

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