Question

Can someone please answer this fast! thanks

Answer 1

The choice C.

`{x}^{ (5)/(2) }`

Explanation:

`\frac{ {x}^(3) }{ √(x) } = \frac{ {x}^(3) }{ {x}^{ (1)/(2) } } = {x}^(3) * {x}^{ - (1)/(2) } \\ = {x}^{3 * - (1)/(2) } = {x}^{ (5)/(2) }`

Or ;

`\frac{ {x}^(3) }{ √(x) } = {x}^(2) √(x) = {x}^(2) * {x}^{ (1)/(2) } \\ = {x}^{2 + (1)/(2) } = {x}^{ (5)/(2) }`