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

Answer:

$\sqrt[4]{ {x}^{3} }$

Step-by-step explanation:

$\sqrt{x} \times \sqrt[4]{x} \\ = {x}^{ \frac{1}{2} } \times {x}^{ \frac{1}{4} } \\ = {x}^{ \frac{1}{2} + \frac{1}{4} } \\ = {x}^{ \frac{3}{4} } \\ = \sqrt[4]{ {x}^{3} }$