Solve (3/8×4)^-2: Negative Exponent Expression Challenge

Question

Insert the corresponding expression:
$\left(\frac{3}{8\times4}\right)^{-2}=$

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

00:22 According to the laws of exponents when a product is raised to the power (N)

00:27 it is equal ti each factor in the product separately raised to the same power (N)

00:31 We will apply this formula to our exercise

00:36 This is the solution

$\frac{3^{-2}}{8^{-2}\times4^{-2}}$