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 Simply
00:04 According to the laws of exponents, any fraction raised to a power (N)
00:08 equals the numerator and denominator raised to the same power (N)
00:13 We will use this formula in our exercise
00:20 According to the laws of exponents, when the entire product is raised to a power (N)
00:23 equals each factor in the product separately raised to the same power (N)
00:28 We will use this formula in our exercise
00:36 And this is the solution to the question

Answer

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