Select all the expressions that are equivalent to 6^4/3^4. Multi-select Choices: (A)1/2^4 (B)2 (C)2^4 (D)1/2^-4

Simplify Expression: Simplify the given expression $ \frac{6^4}{3^4} $ by recognizing that $ \frac{6}{3} = 2 $. Thus, $ \frac{6^4}{3^4} = (2)^4 $. Calculate Result: Calculate $ 2^4 $ to find that $ 2^4 = 16 $. So, $ \frac{6^4}{3^4} = 16 $. Compare with Choices: Compare the result with the given choices: - (A) $ \frac{1}{2^4} = \frac{1}{16} $ which is not equal to 16. - (B) 2 is clearly not equal to 16. - (C) $ 2^4 = 16 $, which matches our result. - (D) $ \frac{1}{2^{-4}} = 2^4 = 16 $, which also matches our result.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select all the expressions that are equivalent to $\frac{6^4}{3^4}$ . $\newline$ Multi-select Choices: $\newline$ (A) $\frac{1}{2^4}$ $\newline$ (B) $2$ $\newline$ (C) $2^4$ $\newline$ (D) $\frac{1}{2^{-4}}$

View step-by-step help

Home

Math Problems

Calculus

Find derivatives using the product rule II

Full solution

Q. Select all the expressions that are equivalent to

\frac{6^4}{3^4}

\newline

Multi-select Choices:

\newline

(A)

\frac{1}{2^4}

\newline

(B)

2

\newline

(C)

2^4

\newline

(D)

\frac{1}{2^{-4}}

Simplify Expression: Simplify the given expression $\frac{6^4}{3^4}$ by recognizing that $\frac{6}{3} = 2$ . Thus, $\frac{6^4}{3^4} = (2)^4$ .
Calculate Result: Calculate $2^4$ to find that $2^4 = 16$ . So, $\frac{6^4}{3^4} = 16$ .
Compare with Choices: Compare the result with the given choices: $\newline$ - (A) $\frac{1}{2^4} = \frac{1}{16}$ which is not equal to $16$ . $\newline$ - (B) $2$ is clearly not equal to $16$ . $\newline$ - (C) $2^4 = 16$ , which matches our result. $\newline$ - (D) $\frac{1}{2^{-4}} = 2^4 = 16$ , which also matches our result.