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

Question

Insert the corresponding expression:

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

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

$\frac{4^{-2}\times5^{-2}}{3^{-2}\times2^{-2}}$