Question

How do you simplify `((4x)/y^3)^-3`?

Answer 1

`y^9/(64x^3)`

Explanation:

Consider the example `b^(-1)`.; This can be written as `1/b`

Basically the negative exponent turns 'upside down' the elements it is applied to. In this case it is everything inside the brackets.

`((4x)/y^3)^(-3) " " ->" "(y^3/(4x))^3`

Notice that in turning it all upside down the exponent of -3 becomes +3

`((y^3)^3)/((4x)^3) = y^9/(64x^3)`