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 Simply

00:03 According to the laws of exponents, any fraction raised to a power (N)

00:08 equals the numerator and denominator raised to the same power (N)

00:12 We will use this formula in our exercise

00:17 We'll raise both numerator and 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 equals each factor in the product separately raised to the same power (N)

00:33 We will use this formula in our exercise

00:46 And this is the solution to the question

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