Question

Which expression is equivalent to 3/256x10y?

0 4x²y
4xy?(/4xy)
16x?y? (VW)
16xy (39)

please help !

Answer 1

`4 {x}^(3) {y}^(2) \sqrt[3]{4xy}`

Explanation:

`\sqrt[3]{256 {x}^(10) {y}^(7) } \\ \\ = \sqrt[3]{( {4)}^(4) {(x)}^(9) * x * {(y)}^(6) * y } \\ \\ = \sqrt[3]{ {4}^(3) * 4 * ({x}^(3))^(3) * x * ({y}^(2))^(3) * y} \\ \\ = 4 * {x}^(3) * {y}^(2) \sqrt[3]{4 * x * y} \\ \\ \huge \red{ \boxed{ = 4 {x}^(3) {y}^(2) \sqrt[3]{4xy} }}`