Question

How do you simplify `(\frac { 6y } { x ^ { 4} } ) ^ { 2}`?

Answer 1

`(36y^2)/x^8`

Explanation:

Distribute the exponent to each term:

`(6^2y^2)/x^(4*2)`

Simplify:

`(36y^2)/x^8`

Answer 2

See a solution process below:

Explanation:

Use these two rules of exponents to simplify the expression:

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

`((6y)/x^4)^2 => ((6^color(red)(1)y^color(red)(1))/x^color(red)(4))^color(blue)(2) => (6^(color(red)(1)xxcolor(blue)(2))y^(color(red)(1)xxcolor(blue)(2)))/x^(color(red)(4)xxcolor(blue)(2)) => (6^2y^2)/x^8 =>`

`(36y^2)/x^8`