Calculus Examples

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

Step 1

Move

$x^{\frac{1}{2}}$ to the denominator using the negative exponent rule

$b^{n} = \frac{1}{b^{- n}}$ .

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

Step 2

Multiply

$x$ by

$x^{- \frac{1}{2}}$ by adding the exponents.

Tap for more steps...

Step 2.1

Multiply

$x$ by

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

Tap for more steps...

Step 2.1.1

Raise

$x$ to the power of

$1$ .

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

Step 2.1.2

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 2.2

Write

$1$ as a fraction with a common denominator.

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

Step 2.3

Combine the numerators over the common denominator.

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

Step 2.4

Subtract

$1$ from

$2$ .

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