Which is equal to 1/6^6? Choices: (A)6^-6 (B)(-6)^6 (C)1/6^-6 (D)-1/(-6)^-6

Understand Expression: Understand the expression 1/6^6. 1/6^6 means 1 divided by 6 raised to the power of 6.Rewrite Using Negative Exponents: Rewrite the expression using negative exponents. 1/6^6 can be rewritten as 6^-6 because moving the base 6 to the numerator changes the sign of the exponent.Match with Choices: Match the rewritten expression with the given choices. The expression 6^-6 matches choice (A) 6^-6.

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

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Math Problems

Grade 8

Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{6^6}

\newline

Choices:

\newline

(A)

6^{-6}

\newline

(B)

(-6)^6

\newline

(C)

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

\newline

(D)

-\frac{1}{(-6)^{-6}}

Understand Expression: Understand the expression $\frac{1}{6^6}$ . $\frac{1}{6^6}$ means $1$ divided by $6$ raised to the power of $6$ .
Rewrite Using Negative Exponents: Rewrite the expression using negative exponents. $\newline$ $\frac{1}{6^6}$ can be rewritten as $6^{-6}$ because moving the base $6$ to the numerator changes the sign of the exponent.
Match with Choices: Match the rewritten expression with the given choices. $\newline$ The expression $6^{-6}$ matches choice (A) $6^{-6}$ .