Which is equal to 3^-25? Choices: (A)1/3^25 (B)(-3)^25 (C)1/3^-25 (D)(-3)^-25

Understand Expression: Understand the expression 3^-25. Identify the base and the exponent. In 3^-25, 3 is the base raised to the exponent -25. Base: 3 Exponent: -25Identify Base and Exponent: Apply the negative exponent rule. The negative exponent rule states that a^-m = 1 / a^m. Therefore, 3^-25 can be rewritten as 1 / 3^25.Apply Negative Exponent Rule: Match the rewritten expression with the given choices. The expression 1 / 3^25 matches choice (A) 1/3^25.

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Which is equal to $3^{-25}$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{3^{25}}$ $\newline$ (B) $(-3)^{25}$ $\newline$ (C) $\frac{1}{3^{-25}}$ $\newline$ (D) $(-3)^{-25}$

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Q. Which is equal to

3^{-25}

\newline

Choices:

\newline

(A)

\frac{1}{3^{25}}

\newline

(B)

(-3)^{25}

\newline

(C)

\frac{1}{3^{-25}}

\newline

(D)

(-3)^{-25}

Understand Expression: Understand the expression $3^{-25}$ . Identify the base and the exponent. In $3^{-25}$ , $3$ is the base raised to the exponent $-25$ . Base: $3$ Exponent: $-25$
Identify Base and Exponent: Apply the negative exponent rule. $\newline$ The negative exponent rule states that $a^{-m} = \frac{1}{a^m}$ . $\newline$ Therefore, $3^{-25}$ can be rewritten as $\frac{1}{3^{25}}$ .
Apply Negative Exponent Rule: Match the rewritten expression with the given choices. $\newline$ The expression $\frac{1}{3^{25}}$ matches choice (A) $\frac{1}{3^{25}}$ .