Solve (4/63)^(-3): Negative Exponent with Complex Fraction

Insert the corresponding expression:

(49×7)−3= \left(\frac{4}{9\times7}\right)^{-3}=

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Step-by-step video solution

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00:00 Simplify the following problem
00:03 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)
00:12 We will apply this formula to our exercise
00:20 According to the laws of exponents when a product is raised to a power (N)
00:24 it is equal to each factor in the product separately raised to the same power (N)
00:28 We will apply this formula to our exercise
00:34 This is the solution

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

(49×7)−3= \left(\frac{4}{9\times7}\right)^{-3}=

3

Final Answer

4−39−3×7−3 \frac{4^{-3}}{9^{-3}\times7^{-3}}

Practice Quiz

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\( (4^3)^2= \)

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