Which expression is equivalent to 7^6 * 7^2? Choices: (A)1/7^12 (B)7^8 (C)7^12 (D)1/7^8

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

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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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Math Problems

Algebra 1

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