Which is equal to 1/8^7? Choices: (A)8^-7 (B)(-8)^7 (C)1/(-8)^7 (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: 7Rewrite Using Negative Exponent: Rewrite the expression 1 / 8^7 using a negative exponent. Move 8^7 to the numerator and make the exponent negative. 1 / 8^7 = 8^-7Match with Choices: Match the rewritten expression with the given choices. 1 / 8^7 = 8^-7 The correct choice that matches this expression is (A) 8^-7.

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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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Math Problems

Grade 8

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) $8^{-7}$ .