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

Question

Insert the corresponding expression:

$\left(\frac{4}{9\times7}\right)^{-3}=$

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

$\frac{4^{-3}}{9^{-3}\times7^{-3}}$