Which is equal to 1/8^5? Choices: (A)-8^5 (B)8^-5 (C)(-8)^-5 (D)-1/8^-5

Identify Base and Exponent: Identify the base and the exponent in 8^5. In 8^5, 8 is the base raised to the exponent 5. Base: 8 Exponent: 5Rewrite Using Negative Exponent: Rewrite the expression 1 / 8^5 using a negative exponent. Move 8^5 to the numerator and make the exponent negative. 1 / 8^5 = 8^-5Match with Answer Choice: Match the rewritten expression with the correct answer choice. 1 / 8^5 = 8^-5 corresponds to choice (B) 8^-5.

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Which is equal to $\frac{1}{8^5}$ ? $\newline$ Choices: $\newline$ (A) $-8^5$ $\newline$ (B) $8^{-5}$ $\newline$ (C) $(-8)^{-5}$ $\newline$ (D) $-\frac{1}{8^{-5}}$

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Math Problems

Grade 8

Understanding negative exponents

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Q. Which is equal to

\frac{1}{8^5}

\newline

Choices:

\newline

(A)

-8^5

\newline

(B)

8^{-5}

\newline

(C)

(-8)^{-5}

\newline

(D)

-\frac{1}{8^{-5}}

Identify Base and Exponent: Identify the base and the exponent in $8^5$ . In $8^5$ , $8$ is the base raised to the exponent $5$ . Base: $8$ Exponent: $5$
Rewrite Using Negative Exponent: Rewrite the expression $\frac{1}{8^5}$ using a negative exponent. $\newline$ Move $8^5$ to the numerator and make the exponent negative. $\newline$ $\frac{1}{8^5} = 8^{-5}$
Match with Answer Choice: Match the rewritten expression with the correct answer choice. $\newline$ $\frac{1}{8^5} = 8^{-5}$ corresponds to choice (B) $8^{-5}$ .