Calculate (5×7/71)⁴: Solving a Complex Fraction Power

Question

Insert the corresponding expression:

$\left(\frac{5\times7}{71}\right)^4=$

00:00 Simplify the following problem

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

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

00:11 We will apply this formula to our exercise

00:14 Note that the numerator is a product, we must be careful with the parentheses

00:22 This is the solution

$\frac{\left(5\times7\right)^4}{71^4}$