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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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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 $4^{-7}$ .

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