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Which is equal to $\frac{1}{2^5}$ ? $\newline$ Choices: $\newline$ (A) $-2^5$ $\newline$ (B) $-(-2)^5$ $\newline$ (C) $(-2)^{-5}$ $\newline$ (D) $2^{-5}$

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Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{2^5}

?

\newline

Choices:

\newline

(A)

-2^5

\newline

(B)

-(-2)^5

\newline

(C)

(-2)^{-5}

\newline

(D)

2^{-5}

Understand expression: Step $1$ : Understand the expression $\frac{1}{2^5}$ . $\newline$ Rewrite $\frac{1}{2^5}$ using negative exponents. $\newline$ $\frac{1}{2^5} = 2^{-5}$
Match with choices: Step $2$ : Match the rewritten expression with the given choices. $\newline$ From the choices: $\newline$ (A) $-2^5$ $\newline$ (B) $-(-2)^5$ $\newline$ (C) $(-2)^{-5}$ $\newline$ (D) $2^{-5}$ $\newline$ The correct match is (D) $2^{-5}$

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