Which is equal to 1/89^40? Choices: (A)-(-89)^40 (B)-1/(-89)^-40 (C)89^-40 (D)-89^40

Understand Expression: Understand the given expression 1/89^40. The given expression is a fraction with 1 in the numerator and 89^40 in the denominator.Apply Negative Exponent Rule: Identify the equivalent expression using the negative exponent rule. The negative exponent rule states that a^-m = 1 / a^m. Therefore, 1 / 89^40 can be written as 89^-40.Compare with Choices: Compare the equivalent expression with the given choices. The expression 89^-40 matches with choice (C) 89^-40.

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Which is equal to $\frac{1}{89^{40}}$ ? $\newline$ Choices: $\newline$ (A) $-(-89)^{40}$ $\newline$ (B) $-\frac{1}{(-89)^{-40}}$ $\newline$ (C) $89^{-40}$ $\newline$ (D) $-89^{40}$

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Q. Which is equal to

\frac{1}{89^{40}}

\newline

Choices:

\newline

(A)

-(-89)^{40}

\newline

(B)

-\frac{1}{(-89)^{-40}}

\newline

(C)

89^{-40}

\newline

(D)

-89^{40}

Understand Expression: Understand the given expression $\frac{1}{89^{40}}$ . The given expression is a fraction with $1$ in the numerator and $89^{40}$ in the denominator.
Apply Negative Exponent Rule: Identify the equivalent expression using the negative exponent rule. $\newline$ The negative exponent rule states that $a^{-m} = \frac{1}{a^m}$ . Therefore, $\frac{1}{89^{40}}$ can be written as $89^{-40}$ .
Compare with Choices: Compare the equivalent expression with the given choices. $\newline$ The expression $89^{-40}$ matches with choice (C) $89^{-40}$ .