Question

Simplify the expression.

Answer 1

option A

Explanation:

`\sqrt[5]{224 x^(11)y^(8)}`

we can write

224=
`2^(5)*7`

`x^(11) = x^(5) *x^(5) *x`

`y^(8) = y ^(5) *y^(3)`

`\sqrt[5]{224 x^(11)y^(8)}` =
`\sqrt[5]{2^(5)*7*x^(5)*x^(5)*x*y^(5)*y^(3)}`

`\sqrt[5]{2^(5)*7*x^(5)*x^(5)*x*y^(5)*y^(3)}`

finally we have

`2x^(2) y\sqrt[5]{7xy^(3)}`