Which expression is equivalent to 7^4 * 3^4? Choices: (A)1/21^4 (B)21^4 (C)21^16 (D)21^8

Understand Exponent Properties: Understand the properties of exponents. When multiplying powers with the same exponent but different bases, we can multiply the bases first and then apply the exponent to the result. (a^m)(b^m) = (ab)^mApply Property to Multiplication: Apply the property to 7^4 * 3^4. Multiply the bases (7 and 3) and then apply the exponent 4. (7^4)(3^4) = (7*3)^4 = 21^4Match Result with Choices: Match the result with the given choices. The expression 21^4 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 $7^4 \times 3^4$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{21^4}$ $\newline$ (B) $21^4$ $\newline$ (C) $21^{16}$ $\newline$ (D) $21^8$

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

7^4 \times 3^4

\newline

Choices:

\newline

(A)

\frac{1}{21^4}

\newline

(B)

21^4

\newline

(C)

21^{16}

\newline

(D)

21^8

Understand Exponent Properties: Understand the properties of exponents. $\newline$ When multiplying powers with the same exponent but different bases, we can multiply the bases first and then apply the exponent to the result. $\newline$ $(a^m)(b^m) = (ab)^m$
Apply Property to Multiplication: Apply the property to $7^4 \times 3^4$ . $\newline$ Multiply the bases ( $7$ and $3$ ) and then apply the exponent $4$ . $\newline$ $(7^4)(3^4) = (7\times3)^4$ $\newline$ $= 21^4$
Match Result with Choices: Match the result with the given choices. $\newline$ The expression $21^4$ corresponds to choice (B).