Question

(Solved) Simplify this radical expression. Use absolute value symbols when needed,


`√(x) 54x^(3)yx^(3)`

Answer 1

Explanation:

so, it is

`√(x) 54 {x}^(3) y {x}^(3)`

a square root is the same as the exponent ½.

since multiplication had the associative property :

a(bc) = (ab)c

that means abc = acb = bac = bca = cab = cba

and we can write this like

`54 √(x) {x}^(3) {x}^(3) y = 54 {x}^{ (1)/(2) } {x}^(3) {x}^(3) y`

remember,

x^a × x^b = x^(a+b)

so, for x we have the exponent calculation

½ + 3 + 3 = 6½ = 12/2 + 1/2 = 13/2

so, we get

`54 {x}^{ (13)/(2) } y`