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

Question

Insert the corresponding expression:

$\left(\frac{11\times9}{4}\right)^{-5}=$

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

$\frac{11^{-5}\times9^{-5}}{4^{-5}}$