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Which is equal to $\frac{1}{9^2}$ ? $\newline$ Choices: $\newline$ (A) $-(-9)^2$ $\newline$ (B) $9^{-2}$ $\newline$ (C) $-9^2$ $\newline$ (D) $-\frac{1}{9^{-2}}$

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Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{9^2}

?

\newline

Choices:

\newline

(A)

-(-9)^2

\newline

(B)

9^{-2}

\newline

(C)

-9^2

\newline

(D)

-\frac{1}{9^{-2}}

Understand expression: Understand the expression $1/9^2$ . $\newline$ Rewrite $1/9^2$ using negative exponents. $\newline$ $1/9^2 = 9^{-2}$
Rewrite using negative exponents: Match the rewritten expression with the given choices. $\newline$ $\frac{1}{9^2} = 9^{-2}$ matches with Choice (B) $9^{-2}$ .

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