Solve (2×3)/(7×9) Raised to the 7th Power: Complete Solution

Question

Insert the corresponding expression:

$\left(\frac{2\times3}{7\times9}\right)^7=$

00:00 Simply put

00:03 According to the laws of exponents, the entire fraction raised to a power (N)

00:07 equals the numerator and denominator, each raised to the same power (N)

00:12 Note that both the numerator and denominator are products

00:16 We'll use this formula in our exercise, making sure to use parentheses

00:23 According to the laws of exponents, a product raised to a power (N)

00:28 equals the product of each factor raised to that power (N)

00:32 We'll use this formula in our exercise

00:39 And this is the solution to the question

$\frac{2^7\times3^7}{7^7\times9^7}$