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

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Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{9^9}

?

\newline

Choices:

\newline

(A)

9^{-9}

\newline

(B)

9^9

\newline

(C)

(-9)^{-9}

\newline

(D)

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

Identify Base and Exponent: Identify the base and the exponent of $9^9$ $\newline$ In $9^9$ , $9$ is the base raised to the exponent $9$ . $\newline$ Base: $9$ $\newline$ Exponent: $9$
Rewrite Expression with Negative Exponent: Rewrite the expression $1 / 9^9$ as a whole number with a negative exponent. $\newline$ Move $9^9$ to the numerator and then make the exponent negative. $\newline$ $1 / 9^9 = 9^{-9}$
Choose Equivalent Answer: Choose the answer choice that is the equivalent expression for $1 / 9^9$ . $1 / 9^9$ is equivalent to $9^{-9}$ , which is choice $(A)$ .

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