Which is equal to 1/9^9? Choices: (A)9^-9 (B)9^9 (C)(-9)^-9 (D)-1/(-9)^-9

Identify Base and Exponent: Identify the base and the exponent of 9^9 In 9^9, 9 is the base raised to the exponent 9. Base: 9 Exponent: 9Rewrite Expression with Negative Exponent: Rewrite the expression 1 / 9^9 as a whole number with a negative exponent. Move 9^9 to the numerator and then make the exponent negative. 1 / 9^9 = 9^-9Choose 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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Math Problems

Grade 8

Understanding negative exponents

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Q. Which is equal to

\frac{1}{9^9}

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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 $(A)$ .