Solve for X: (2×7×21)/(5×6) Raised to Power X

Question

Insert the corresponding expression:

$\left(\frac{2\times7\times21}{5\times6}\right)^x=$

00:00 Simplify the following problem

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

00:08 equals the numerator and denominator raised to the same power (N)

00:11 Note that the numerator is a product, therefore we'll place it inside of parentheses

00:15 We will apply this formula to our exercise

00:20 According to the laws of exponents, when a product is raised to the power (N)

00:25 it is equal to each factor in the product raised separately to the same power (N)

00:28 We will apply this formula to our exercise

00:39 This is the solution

$\frac{2^x\times7^x\times21^x}{5^x\times6^x}$