Which is equal to 1/4^6? Choices: (A)-(-4)^6 (B)1/4^-6 (C)-4^6 (D)4^-6

Identify Base and Exponent: Identify the base and the exponent of 4^6 In 4^6, 4 is the base raised to the exponent 6. Base: 4 Exponent: 6Rewrite as Negative Exponent: Rewrite the expression 1 / 4^6 as a whole number with a negative exponent. Move 4^6 to the numerator and then make the exponent negative. 1 / 4^6 = 4^-6Choose Equivalent Expression: Choose the answer choice that is the equivalent expression for 1 / 4^6. 1 / 4^6 is equivalent to 4^-6, which is choice (D).

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Which is equal to $\frac{1}{4^6}$ ? $\newline$ Choices: $\newline$ (A) $-(-4)^6$ $\newline$ (B) $\frac{1}{4^{-6}}$ $\newline$ (C) $-4^6$ $\newline$ (D) $4^{-6}$

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Math Problems

Grade 8

Understanding negative exponents

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Q. Which is equal to

\frac{1}{4^6}

\newline

Choices:

\newline

(A)

-(-4)^6

\newline

(B)

\frac{1}{4^{-6}}

\newline

(C)

-4^6

\newline

(D)

4^{-6}

Identify Base and Exponent: Identify the base and the exponent of $4^6$ $\newline$ In $4^6$ , $4$ is the base raised to the exponent $6$ . $\newline$ Base: $4$ $\newline$ Exponent: $6$
Rewrite as Negative Exponent: Rewrite the expression $\frac{1}{4^6}$ as a whole number with a negative exponent. $\newline$ Move $4^6$ to the numerator and then make the exponent negative. $\newline$ $\frac{1}{4^6} = 4^{-6}$
Choose Equivalent Expression: Choose the answer choice that is the equivalent expression for $1 / 4^6$ . $1 / 4^6$ is equivalent to $4^{-6}$ , which is choice $(D)$ .