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Which is equal to $\frac{1}{7^9}$ ? $\newline$ Choices: $\newline$ (A) $-\frac{1}{(-7)^{-9}}$ $\newline$ (B) $\frac{1}{(-7)^9}$ $\newline$ (C) $(-7)^9$ $\newline$ (D) $7^{-9}$

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Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{7^9}

?

\newline

Choices:

\newline

(A)

-\frac{1}{(-7)^{-9}}

\newline

(B)

\frac{1}{(-7)^9}

\newline

(C)

(-7)^9

\newline

(D)

7^{-9}

Understand Expression: Understand the expression $1/7^9$ . Rewrite $1/7^9$ using negative exponents. $1 / 7^9 = 7^{-9}$
Rewrite Using Negative Exponents: Compare the rewritten expression with the choices. $\newline$ (A) $-\frac{1}{(-7)^{-9}}$ $\newline$ (B) $\frac{1}{(-7)^9}$ $\newline$ (C) $(-7)^9$ $\newline$ (D) $7^{-9}$ $\newline$ Only choice (D) matches $7^{-9}$ .

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