Which is equal to 1/4^7? Choices: (A)1/(-4)^7 (B)1/(-4)^-7 (C)4^-7 (D)-4^7

Identify Base and Exponent: Identify the base and the exponent of 4^7. In 4^7, 4 is the base raised to the exponent 7. Base: 4 Exponent: 7Rewrite as Negative Exponent: Rewrite the expression 1 / 4^7 as a whole number with a negative exponent. Move 4^7 to the numerator and then make the exponent negative. 1 / 4^7 = 4^-7Choose Equivalent Expression: Choose the answer choice that is the equivalent expression for 1 / 4^7. 1 / 4^7 is equivalent to 4^-7, which is choice (C).

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Math Problems

Grade 8

Understanding negative exponents

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Q. Which is equal to

\frac{1}{4^7}

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Choices:

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(A)

\frac{1}{(-4)^7}

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(B)

\frac{1}{(-4)^{-7}}

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(C)

4^{-7}

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(D)

-4^7

Identify Base and Exponent: Identify the base and the exponent of $4^7$ . In $4^7$ , $4$ is the base raised to the exponent $7$ . Base: $4$ Exponent: $7$
Rewrite as Negative Exponent: Rewrite the expression $1 / 4^7$ as a whole number with a negative exponent. $\newline$ Move $4^7$ to the numerator and then make the exponent negative. $\newline$ $1 / 4^7 = 4^{-7}$
Choose Equivalent Expression: Choose the answer choice that is the equivalent expression for $1 / 4^7$ . $1 / 4^7$ is equivalent to $4^{-7}$ , which is choice (C).