Which expression is equivalent to 7^8 * 7^4? Choices: (A)7^12 (B)1/7^12 (C)7^32 (D)1/7^32

Identify Operation: Identify the operation to perform with the exponents. When we multiply powers with the same base, we add the exponents. a^m * a^n = a^(m+n)Add Exponents: Add the exponents of the powers of 7. 7^8 * 7^4 = 7^(8+4) = 7^12Match Result: Match the result with the given choices. The expression 7^12 corresponds to choice (A) 7^12.

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Which expression is equivalent to $7^8 \times 7^4$ ? $\newline$ Choices: $\newline$ (A) $7^{12}$ $\newline$ (B) $\frac{1}{7^{12}}$ $\newline$ (C) $7^{32}$ $\newline$ (D) $\frac{1}{7^{32}}$

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Math Problems

Algebra 1

Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

7^8 \times 7^4

\newline

Choices:

\newline

(A)

7^{12}

\newline

(B)

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

\newline

(C)

7^{32}

\newline

(D)

\frac{1}{7^{32}}

Identify Operation: Identify the operation to perform with the exponents. $\newline$ When we multiply powers with the same base, we add the exponents. $\newline$ $a^m \times a^n = a^{(m+n)}$
Add Exponents: Add the exponents of the powers of $7$ . $7^8 \times 7^4 = 7^{8+4} = 7^{12}$
Match Result: Match the result with the given choices. $\newline$ The expression $7^{12}$ corresponds to choice (A) $7^{12}$ .