Finite Math Examples

$\frac{x^{\frac{1}{3}}}{x^{\frac{1}{12}}}$

Step 1

Move $x^{\frac{1}{12}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$x^{\frac{1}{3}} x^{- \frac{1}{12}}$

Step 2

Multiply $x^{\frac{1}{3}}$ by $x^{- \frac{1}{12}}$ by adding the exponents.

Tap for more steps...

Step 2.1

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

$x^{\frac{1}{3} - \frac{1}{12}}$

Step 2.2

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$x^{\frac{1}{3} \cdot \frac{4}{4} - \frac{1}{12}}$

Step 2.3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.3.1

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$x^{\frac{4}{3 \cdot 4} - \frac{1}{12}}$

Step 2.3.2

Multiply $3$ by $4$ .

$x^{\frac{4}{12} - \frac{1}{12}}$

Step 2.4

Combine the numerators over the common denominator.

$x^{\frac{4 - 1}{12}}$

Step 2.5

Subtract $1$ from $4$ .

$x^{\frac{3}{12}}$

Step 2.6

Cancel the common factor of $3$ and $12$ .

Tap for more steps...

Step 2.6.1

Factor $3$ out of $3$ .

$x^{\frac{3 (1)}{12}}$

Step 2.6.2

Cancel the common factors.

Tap for more steps...

Step 2.6.2.1

Factor $3$ out of $12$ .

$x^{\frac{3 \cdot 1}{3 \cdot 4}}$

Step 2.6.2.2

Cancel the common factor.

$x^{\frac{3 \cdot 1}{3 \cdot 4}}$

Step 2.6.2.3

Rewrite the expression.

$x^{\frac{1}{4}}$