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

Question

Insert the corresponding expression:

(5×771)4= \left(\frac{5\times7}{71}\right)^4=

Video Solution

Solution Steps

00:00 Simply
00:04 According to the laws of exponents, a power over the entire fraction with exponent (N)
00:08 equals the numerator and denominator, with the same exponent (N)
00:11 We will use this formula in our exercise
00:14 Note that the numerator is a product, we must be careful with parentheses
00:22 And this is the solution to the question

Answer

(5×7)4714 \frac{\left(5\times7\right)^4}{71^4}