Question

BRAINLIESTTT ASAP!! PLEASE HELP ME :)

Answer 1

Answer:

$x^{\frac{3}{4}}$

Step-by-step explanation:

$\sqrt{x} = x^{1/2}$

$\sqrt[4]{x} = x^{\frac{1}{4}}$

we have:

$\sqrt{x} * \sqrt[4]{x}$=$x^{1/2} * x^{\frac{1}{4}}$

the terms have the same base (x), then we write the same base and sum the exponents:

$x^{1/2} * x^{\frac{1}{4}}= x^{\frac{3}{4}}$

Answer 2

Answer:

$\boxed{x^{\frac{3}{4}}}$

Step-by-step explanation:

$\text{Just as }\sqrt [2]{x}\text{ means }x^{\frac{1}{2}}, \sqrt[4]{x}\text{ means }x^\frac{1}{4}\\\\\text{Then,}\sqrt{x} \cdot \sqrt[4]{x} = x^{\frac{1}{2}} \cdot x^\frac{1}{4}\\\\\text{Also, when you multiply numbers with the same base, you add their exponents.}\\\\\dfrac{1}{2} + \dfrac{1}{4}= \dfrac{2}{4} + \dfrac{1}{4} = \dfrac{3}{4}\\\\\text{So, }x^{\frac{1}{2}} \cdot x^\frac{1}{4}= x^\frac{3}{4}\\\\\text{The expression with simplest rational exponents is } \boxed{x^{\frac{3}{4}}}$