Question

How do you simplify `(\frac { u ^ { 3} } { - 6v ^ { 4} } ) ^ { 2}`?

Answer 1

See a solution process below:

Explanation:

We can use these rules of exponents to simplify this expression:

`a = a^color(red)(1)` and `(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))`

`(u^3/(-6v^4))^2 => (u^color(red)(3)/((-6)^color(red)(1)v^color(red)(4)))^color(blue)(2) => u^(color(red)(3) xx color(blue)(2))/((-6)^(color(red)(1) xx color(blue)(2))v^(color(red)(4) xx color(blue)(2))) =>`

`u^6/((-6)^2v^8) =>`

`u^6/(36v^8) =>`