Which is equal to 1/4^6? Choices: (A)1/4^-6 (B)4^6 (C)-(-4)^6 (D)4^-6

Understand expression: Step 1: Understand the expression 1/4^6. Rewrite 1/4^6 using negative exponents. 1 / 4^6 = 4^-6 Rewrite using negative exponents: Step 2: Match the rewritten expression with the given choices. Compare 4^-6 to the choices: (A) 1/4^-6 (B) 4^6 (C) -(-4)^6 (D) 4^-6 Choice (D) matches 4^-6.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which is equal to $\frac{1}{4^6}$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{4^{-6}}$ $\newline$ (B) $4^6$ $\newline$ (C) $-(-4)^6$ $\newline$ (D) $4^{-6}$

View step-by-step help

Home

Math Problems

Grade 8

Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{4^6}

\newline

Choices:

\newline

(A)

\frac{1}{4^{-6}}

\newline

(B)

4^6

\newline

(C)

-(-4)^6

\newline

(D)

4^{-6}

Understand expression: Step $1$ : Understand the expression $\frac{1}{4^6}$ . $\newline$ Rewrite $\frac{1}{4^6}$ using negative exponents. $\newline$ $\frac{1}{4^6} = 4^{-6}$
Rewrite using negative exponents: Step $2$ : Match the rewritten expression with the given choices. $\newline$ Compare $4^{-6}$ to the choices: $\newline$ (A) $\frac{1}{4^{-6}}$ $\newline$ (B) $4^{6}$ $\newline$ (C) $-(-4)^{6}$ $\newline$ (D) $4^{-6}$ $\newline$ Choice (D) matches $4^{-6}$ .