Solve (13×21)/(11×10) Raised to the 6th Power: Complex Fraction Expression

Question

Insert the corresponding expression:

$\left(\frac{13\times21}{11\times10}\right)^6=$

00:00 Simplify the following problem

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

00:06 equals both the numerator and denominator raised to the same power (N)

00:10 We can observe that both the numerator and denominator are multiplications

00:13 We will apply this formula to our exercise, making sure to use parentheses

00:24 According to the laws of exponents, a multiplication raised to a power (N)

00:29 equals the multiplication broken down into factors with each factor raised to power (N)

00:33 We will apply this formula to our exercise

00:39 This is the solution

$\frac{13^6\times21^6}{11^6\times10^6}$