Question

How do you simplify `(\frac { 8x ^ { 4} } { y ^ { 9} } ) ^ { 4}`?

Answer 1

First, remember that:
`((a^x)/(b^y))^z=(a^(xz))/(b^(yz))`
Also remember that:
`(ax)^y=a^yxxx^y`

Therefore,
`((8x^4)/(y^9))^4` is really
`(8x^4)^4/(y^9)^4` According to our second rule, this is

`(8^4xxx^16)/y^36` which is really
`(4096x^16)/y^36`