Which expression is equivalent to 9^6 * 9^4? Choices: (A)1/9^10 (B)9^10 (C)9^24 (D)1/9^24

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 9. 9^6 * 9^4 = 9^(6+4) = 9^10Match Result: Match the result with the given choices. The expression 9^10 corresponds to choice (B).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $9^6 \times 9^4$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{9^{10}}$ $\newline$ (B) $9^{10}$ $\newline$ (C) $9^{24}$ $\newline$ (D) $\frac{1}{9^{24}}$

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

9^6 \times 9^4

\newline

Choices:

\newline

(A)

\frac{1}{9^{10}}

\newline

(B)

9^{10}

\newline

(C)

9^{24}

\newline

(D)

\frac{1}{9^{24}}

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 $9$ . $9^6 \times 9^4 = 9^{(6+4)} = 9^{10}$
Match Result: Match the result with the given choices. $\newline$ The expression $9^{10}$ corresponds to choice (B).