Solve (10×3)/(3×9) Raised to Power -4: Complex Fraction Expression

Question

Insert the corresponding expression:

$\left(\frac{10\times3}{3\times9}\right)^{-4}=$

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

00:17 We'll raise both the numerator and the denominator to the power (N)

00:24 According to the laws of exponents when the entire product is raised to a power (N)

00:28 it is equal to each factor in the product separately raised to the same power (N)

00:33 We will apply this formula to our exercise

00:46 This is the solution

$\frac{10^{-4}\times3^{-4}}{3^{-4}\times9^{-4}}$