Solve ((4×5)/(3×2))^(-2): Negative Exponent with Complex Fractions

Insert the corresponding expression:

(4×53×2)−2= \left(\frac{4\times5}{3\times2}\right)^{-2}=

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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 (A\B) raised to a power (N)
00:07 is equal to the numerator and denominator raised to the same power (N)
00:12 We will apply this formula to our exercise
00:15 We'll raise both the numerator and denominator to the power (N)
00:27 According to the laws of exponents when a product is raised to a power (N)
00:32 it is equal to each factor in the product separately raised to the same power (N)
00:40 We will apply this formula to our exercise
00:50 This is the solution

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

(4×53×2)−2= \left(\frac{4\times5}{3\times2}\right)^{-2}=

3

Final Answer

4−2×5−23−2×2−2 \frac{4^{-2}\times5^{-2}}{3^{-2}\times2^{-2}}

Practice Quiz

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

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