Evaluate (2×6)/(5×7) Raised to the Fourth Power: Fraction Expression

Question

Insert the corresponding expression:

$\left(\frac{2\times6}{5\times7}\right)^4=$

00:00 Simply put

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

00:09 equals the numerator and denominator, each raised to the same power (N)

00:10 We will use this formula in our exercise

00:15 Note that the numerator and denominator are products, we must be careful with parentheses

00:24 According to laws of exponents, a product entirely raised to power (N)

00:30 equals the product broken down into factors where each factor is raised to power (N)

00:35 We will use this formula in our exercise

01:01 And this is the solution to the question

All answers are correct