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Which is equal to $\frac{1}{8^7}$ ? $\newline$ Choices: $\newline$ (A) $8^{-7}$ $\newline$ (B) $(-8)^7$ $\newline$ (C) $\frac{1}{(-8)^7}$ $\newline$ (D) $-(-8)^7$

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Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{8^7}

?

\newline

Choices:

\newline

(A)

8^{-7}

\newline

(B)

(-8)^7

\newline

(C)

\frac{1}{(-8)^7}

\newline

(D)

-(-8)^7

Identify Base and Exponent: Identify the base and the exponent in $8^7$ . In $8^7$ , $8$ is the base raised to the exponent $7$ . Base: $8$ Exponent: $7$
Rewrite Using Negative Exponent: Rewrite the expression $\frac{1}{8^7}$ using a negative exponent. $\newline$ Move $8^7$ to the numerator and make the exponent negative. $\newline$ $\frac{1}{8^7} = 8^{-7}$
Match with Choices: Match the rewritten expression with the given choices. $\newline$ $\frac{1}{8^7} = 8^{-7}$ $\newline$ The correct choice that matches this expression is (A) $8^{-7}$ .

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