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

Question

Insert the corresponding expression:

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

00:00 Simplify the following problem

00:04 According to the laws of exponents, a product raised to the power (N)

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

00:15 We'll apply this formula to our exercise, using parentheses with exponents

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

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

00:33 Now we'll apply the second formula and convert the expression into a fraction within parentheses with a power

00:40 This is the solution

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