Multiplying Fractional Exponent with a whole

Question

Studying for a math exam and I can't understand the working for this one section of a question.

$x^{\frac{1}{2}}2x =2x^{\frac{3}{2}}$ but I'm not sure how it's done, would someone kindly explain?

Answer 1

Hint $$x=x^1$$ $$x^ax^b=x^{a+b}$$

Can you go from here?

Answer 2

Hint: Remember that

$$x^n x^m = x^{n+m}$$