Calculate (4/9)^-5: Negative Exponent of a Fraction

Insert the corresponding expression:

(49)−5= \left(\frac{4}{9}\right)^{-5}=

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Step-by-step video solution

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00:09 Let's simplify this problem together.
00:12 According to the laws of exponents, when a fraction is raised to the power of N,
00:18 you raise both the numerator and the denominator to the same power, N.
00:23 Let's apply this rule to our exercise now.
00:27 And there you have it, that's the solution!

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

(49)−5= \left(\frac{4}{9}\right)^{-5}=

3

Final Answer

4−59−5 \frac{4^{-5}}{9^{-5}}

Practice Quiz

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

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