Question

How do you simplify `(2x^(3/4)) (5y^(4/6)) (x^(5/4)) (3y^(-2/6))`?

Answer 1

`30x^2root(3)y`

Explanation:

Put together all the like terms - that is, multiply the `x`'s together, the `y`'s, and the actual numbers.

`x^(3/4) * x^(5/4) = x^(3/4 + 5/4) = x^(8/4) = x^2`
`y^(4/6) * y^(-2/6) = y^(4/6 - 2/6) = y^(1/3)`
`2 * 5 * 3 = 30`

and put it back together again,

`30x^2root(3)y`