Evaluate (2/5)^(-3): Negative Exponents with Fractions

Insert the corresponding expression:

(25)3= \left(\frac{2}{5}\right)^{-3}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's simplify this problem together.
00:12 Remember, when a fraction is raised to a power, like N,
00:16 both the numerator and the denominator are raised to that sam e power, N.
00:23 Let's apply this rule to our exercise now.
00:27 And here is how we solve it!

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

(25)3= \left(\frac{2}{5}\right)^{-3}=

3

Final Answer

2353 \frac{2^{-3}}{5^{-3}}

Practice Quiz

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\( 10\cdot10^2\cdot10^{-4}\cdot10^{10}= \)

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