Simplify (xa/by)⁴: Complex Fraction Power Expression

Question

Insert the corresponding expression:

(x×ab×y)4= \left(\frac{x\times a}{b\times y}\right)^4=

Video Solution

Solution Steps

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)
00:13 We will apply this formula to our exercise
00:20 According to the laws of exponents, when a product is raised to the power (N)
00:23 it is equal to each factor in the product separately raised to the same power (N)
00:28 We will apply this formula to our exercise
00:36 This is the solution

Answer

x4×a4(b×y)4 \frac{x^4\times a^4}{\left(b\times y\right)^4}