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Which is equal to $6^{-3}$ ? $\newline$ Choices: $\newline$ (A) $6^3$ $\newline$ (B) $\frac{1}{6^3}$ $\newline$ (C) $(-6)^{-3}$ $\newline$ (D) $-\frac{1}{6^{-3}}$

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Understanding negative exponents

Full solution

Q. Which is equal to

6^{-3}

?

\newline

Choices:

\newline

(A)

6^3

\newline

(B)

\frac{1}{6^3}

\newline

(C)

(-6)^{-3}

\newline

(D)

-\frac{1}{6^{-3}}

Identify base and exponent: Identify the base and the exponent in $6^{-3}$ . $\newline$ Base: $6$ , Exponent: $-3$ .
Rewrite using definition: Rewrite the expression $6^{-3}$ using the definition of negative exponents. $\newline$ $6^{-3} = \frac{1}{6^3}$ .
Match with choices: Match the rewritten expression with the given choices. $\newline$ $\frac{1}{6^3}$ corresponds to choice (B).

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