Question

Select the equivalent expression.
\[3^{-5}=?\]
Choose 1 answer:
Choose 1 answer:
(Choice A)

\[\dfrac{1}{3^5}\]
A

\[\dfrac{1}{3^5}\]
(Choice B)
\[-3^5\]
B
\[-3^5\]
(Choice C)
\[(-3)^5\]
C
\[(-3)^5\]

Answers

Answered by GPT-4o mini
To find the equivalent expression for \(3^{-5}\), we can use the rule of exponents that states \(a^{-n} = \frac{1}{a^n}\).

Applying that rule:

\[
3^{-5} = \frac{1}{3^5}
\]

Now, let's compare this with the given choices:

- (Choice A) \(\dfrac{1}{3^5}\)
- (Choice B) \(-3^5\)
- (Choice C) \((-3)^5\)

The only choice that matches our calculation \(3^{-5} = \dfrac{1}{3^5}\) is:

**(Choice A) \(\dfrac{1}{3^5}\)**.

So, the equivalent expression is:

\(\dfrac{1}{3^5}\).
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