Calculus Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

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

Step 2

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

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Add $2$ and $1$ .

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