Simplify the Expression: (6^5)/(13^5×4^5) Step by Step

Question

Insert the corresponding expression:

$\frac{6^5}{13^5\times4^5}=$

00:00 Simplify the following problem

00:03 According to the laws of exponents, a product that's raised to the power (N)

00:07 equals the product broken down into factors where each factor is raised to the power (N)

00:12 We'll apply this formula to our exercise, using parentheses with an exponent

00:22 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 inside of parentheses with an exponent

00:41 This is the solution

$\left(\frac{6}{13\times4}\right)^5$