Question

Rewrite in simplest rational exponent form square root of x times the fourth root of x. Show each step of your process.

Answer 1

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

Explanation:

`√(x) * \sqrt[4]{x} \\ = {x}^{ (1)/(2) } * {x}^{ (1)/(4) } \\ = {x}^{ (1)/(2) + (1)/(4) } \\ = {x}^{ (3)/(4) } \\ = \sqrt[4]{ {x}^(3) }`