Simplify the Fraction: (4³)/(5³×7³) Step-by-Step Solution

Question

Insert the corresponding expression:

$\frac{4^3}{5^3\times7^3}=$

00:00 Simply

00:04 According to laws of exponents, a product entirely in power (N)

00:11 equals the product broken down into factors with each factor in power (N)

00:15 We'll use this formula in our exercise, converting to parentheses with exponents

00:21 According to laws of exponents, a power on the entire fraction of degree (N)

00:26 equals the numerator and denominator, each raised to the same power (N)

00:33 Now we'll use the second formula and convert to a fraction in parentheses with power

00:40 And this is the solution to the question

$\left(\frac{4}{5\times7}\right)^3$