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

Understand Expression: Understand the expression 1/4^7. 1/4^7 means the reciprocal of 4 raised to the power of 7.Rewrite Using Negative Exponents: Rewrite the expression using negative exponents. 1/4^7 can be rewritten as 4^-7 because moving the base 4 to the numerator changes the exponent to negative.Match with Choices: Match the rewritten expression with the given choices. The expression 4^-7 matches with choice (A) 4^-7.

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Which is equal to $\frac{1}{4^7}$ ? $\newline$ Choices: $\newline$ (A) $4^{-7}$ $\newline$ (B) $-\frac{1}{4^{-7}}$ $\newline$ (C) $-4^7$ $\newline$ (D) $\frac{1}{(-4)^7}$

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Math Problems

Grade 8

Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{4^7}

\newline

Choices:

\newline

(A)

4^{-7}

\newline

(B)

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

\newline

(C)

-4^7

\newline

(D)

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

Understand Expression: Understand the expression $\frac{1}{4^7}$ . $\frac{1}{4^7}$ means the reciprocal of $4$ raised to the power of $7$ .
Rewrite Using Negative Exponents: Rewrite the expression using negative exponents. $\newline$ $\frac{1}{4^7}$ can be rewritten as $4^{-7}$ because moving the base $4$ to the numerator changes the exponent to negative.
Match with Choices: Match the rewritten expression with the given choices. $\newline$ The expression $4^{-7}$ matches with choice (A) $4^{-7}$ .