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Which is equal to $\frac{1}{7^6}$ ? $\newline$ Choices: $\newline$ (A) $7^{-6}$ $\newline$ (B) $-7^6$ $\newline$ (C) $-\frac{1}{7^{-6}}$ $\newline$ (D) $(-7)^6$

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Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{7^6}

?

\newline

Choices:

\newline

(A)

7^{-6}

\newline

(B)

-7^6

\newline

(C)

-\frac{1}{7^{-6}}

\newline

(D)

(-7)^6

Understand expression: Step $1$ : Understand the expression $1/7^6$ . $\newline$ Rewrite $1/7^6$ using negative exponents. $\newline$ $1 / 7^6 = 7^{-6}$
Rewrite using negative exponents: Step $2$ : Match the rewritten expression with the given choices. $\newline$ Compare $7^{-6}$ to the choices: $\newline$ (A) $7^{-6}$ $\newline$ (B) $-7^6$ $\newline$ (C) $-\frac{1}{7^{-6}}$ $\newline$ (D) $(-7)^6$ $\newline$ Choice (A) matches exactly with $7^{-6}$ .

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