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 Simply

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

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

00:12 We'll use this formula in our exercise, converting to parentheses with exponent

00:22 According to laws of exponents, a power on the entire fraction to 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 exponent

00:41 And this is the solution to the question

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