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Which expression is equivalent to $9^8 \times 9^4$ ? $\newline$ Choices: $\newline$ (A) $9^{12}$ $\newline$ (B) $\frac{1}{9^{12}}$ $\newline$ (C) $9^{32}$ $\newline$ (D) $\frac{1}{9^{32}}$

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Identify equivalent exponential expressions I

Full solution

Q. Which expression is equivalent to

9^8 \times 9^4

?

\newline

Choices:

\newline

(A)

9^{12}

\newline

(B)

\frac{1}{9^{12}}

\newline

(C)

9^{32}

\newline

(D)

\frac{1}{9^{32}}

Identify Operation: Identify the operation to perform with the exponents. $\newline$ When multiplying 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 $9$ . $9^8 \times 9^4 = 9^{8+4} = 9^{12}$
Choose Equivalent Expression: Choose the equivalent expression for $9^8 \times 9^4$ . The equivalent expression is $9^{12}$ .

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