How do you simplify (\frac { 4x ^ { 4} } { y ^ { 7} } ) ^ { 4}?

1 Answer
Apr 27, 2017

[256x^(16)]/(y^(28))

Explanation:

This can be written as...

[(4)^4(x^4)^4]/(y^7)^4

We know by properties of exponents that when you have an exponent raised to another exponent you can multiply them and get the same result

[(4)^4(x^(4*4))]/((y^(7*4)))

Now we can multiply the exponents and raise 4 to the fourth power to get our answer

color(green)[[256x^(16)]/(y^(28))]