Evaluate (5×9)/(8×10) Cubed: Complex Fraction Power Problem

Question

Insert the corresponding expression:

$\left(\frac{5\times9}{8\times10}\right)^3=$

00:00 Simply

00:04 According to exponent laws, power over the entire fraction of degree (N)

00:07 equals the numerator and denominator, with the same power (N)

00:10 We will use this formula in our exercise

00:14 Note that the numerator and denominator are products, so we'll be careful with parentheses

00:24 According to exponent laws, a product entirely to the power of (N)

00:28 equals the product factored where each factor is to the power of (N)

00:33 We will use this formula in our exercise

00:42 And this is the solution to the question

$\frac{5^3\times9^2}{8^3\times10^3}$