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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) $4^{-6}$

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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 $4^{-6}$ .

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