Solve (4/35)^4: Evaluating a Compound Fraction to the Fourth Power

Question

Insert the corresponding expression:

(45×7)4= \left(\frac{4}{5\times7}\right)^4=

Video Solution

Solution Steps

00:00 Simply
00:03 According to the laws of exponents, the exponent of the entire fraction to the power (N)
00:07 equals the numerator and denominator, each raised to the same power (N)
00:11 We will use this formula in our exercise
00:20 And this is the solution to the question

Answer

44(5×7)4 \frac{4^4}{\left(5\times7\right)^4}