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

Question

Insert the corresponding expression:

(2×65×7)4= \left(\frac{2\times6}{5\times7}\right)^4=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:03 According to the laws of exponents, a fraction raised to the power (N)
00:09 equals the numerator and denominator, each raised to the same power (N)
00:10 We will apply this formula to our exercise
00:15 Note that the numerator and denominator are products, we must be careful with the parentheses
00:24 According to laws of exponents, a product raised to the power (N)
00:30 equals the product of each factors raised to that power (N)
00:35 We will apply this formula to our exercise
01:01 This is the solution

Answer

All answers are correct