Question

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

Answer 1

`[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))]`