Simplify 2x*x^(1/2)

$2 x \cdot x^{\frac{1}{2}}$

Step 1

Move $x^{\frac{1}{2}}$ .

$2 (x^{\frac{1}{2}} x)$

Step 2

Multiply $x^{\frac{1}{2}}$ by $x$ .

Raise $x$ to the power of $1$ .

$2 (x^{\frac{1}{2}} x^{1})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 x^{\frac{1}{2} + 1}$

Step 3

Write $1$ as a fraction with a common denominator.

$2 x^{\frac{1}{2} + \frac{2}{2}}$

Step 4

Combine the numerators over the common denominator.

$2 x^{\frac{1 + 2}{2}}$

Step 5

Add $1$ and $2$ .

$2 x^{\frac{3}{2}}$