Which expression is equivalent to 8^8 * 8^3? Choices: (A)8^11 (B)8^24 (C)1/8^24 (D)1/8^11

Identify Operation: Identify the operation needed for 8^8 * 8^3. When multiplying powers with the same base, we add the exponents. 8^8 * 8^3 = 8^(8+3) Add Exponents: Perform the addition of the exponents. 8+3 = 11 So, 8^8 * 8^3 = 8^11 Match Result: Match the result with the given choices. The expression 8^11 corresponds to choice (A)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $8^8 \times 8^3$ ? $\newline$ Choices: $\newline$ (A) $8^{11}$ $\newline$ (B) $8^{24}$ $\newline$ (C) $\frac{1}{8^{24}}$ $\newline$ (D) $\frac{1}{8^{11}}$

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

8^8 \times 8^3

\newline

Choices:

\newline

(A)

8^{11}

\newline

(B)

8^{24}

\newline

(C)

\frac{1}{8^{24}}

\newline

(D)

\frac{1}{8^{11}}

Identify Operation: Identify the operation needed for $8^8 \times 8^3$ . $\newline$ When multiplying powers with the same base, we add the exponents. $\newline$ $8^8 \times 8^3 = 8^{8+3}$
Add Exponents: Perform the addition of the exponents. $\newline$ $8+3 = 11$ $\newline$ So, $8^8 \times 8^3 = 8^{11}$
Match Result: Match the result with the given choices. $\newline$ The expression $8^{11}$ corresponds to choice $(A)$