Solve (11×9/4)^(-5): Negative Exponent Calculation

Insert the corresponding expression:

(11×94)−5= \left(\frac{11\times9}{4}\right)^{-5}=

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Step-by-step video solution

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00:00 Simplify the following problem
00:04 According to the laws of exponents, a fraction raised to a power (N)
00:08 equals the numerator and denominator raised to the same power (N)
00:11 We will apply this formula to our exercise
00:19 According to the laws of exponents when the entire product is raised to a power (N)
00:25 it is equal to each factor in the product separately raised to the same power (N)
00:30 We will apply this formula to our exercise
00:37 This is the solution

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

(11×94)−5= \left(\frac{11\times9}{4}\right)^{-5}=

3

Final Answer

11−5×9−54−5 \frac{11^{-5}\times9^{-5}}{4^{-5}}

Practice Quiz

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\( 112^0=\text{?} \)

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