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

Understand expression: Step 1: Understand the expression 1/4^7. Rewrite 1/4^7 using negative exponents. 1 / 4^7 = 4^-7 Match with choices: Step 2: Match the rewritten expression with the given choices. Compare 4^-7 to the choices: (A) 4^-7 (B) 1/(-4)^7 (C) -1/(-4)^-7 (D) -1/4^-7 Choice (A) directly matches 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) $-\frac{1}{(-4)^{-7}}$ $\newline$ (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)

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

\newline

(D)

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

Understand expression: Step $1$ : Understand the expression $\frac{1}{4^7}$ . $\newline$ Rewrite $\frac{1}{4^7}$ using negative exponents. $\newline$ $\frac{1}{4^7} = 4^{-7}$
Match with choices: Step $2$ : Match the rewritten expression with the given choices. $\newline$ Compare $4^{-7}$ to the choices: $\newline$ (A) $4^{-7}$ $\newline$ (B) $1/(-4)^7$ $\newline$ (C) $-1/(-4)^{-7}$ $\newline$ (D) $-1/4^{-7}$ $\newline$ Choice (A) directly matches $4^{-7}$ .