Algebra Examples

$\frac{x^{\frac{1}{3}}}{x^{- \frac{2}{3}}}$

Step 1

Move $x^{- \frac{2}{3}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{\frac{1}{3}} x^{\frac{2}{3}}$

Step 2

Multiply $x^{\frac{1}{3}}$ by $x^{\frac{2}{3}}$ by adding the exponents.

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Step 2.1

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

$x^{\frac{1}{3} + \frac{2}{3}}$

Step 2.2

Combine the numerators over the common denominator.

$x^{\frac{1 + 2}{3}}$

Step 2.3

Add $1$ and $2$ .

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

Step 2.4

Divide $3$ by $3$ .

$x^{1}$

Step 3

Simplify $x^{1}$ .

$x$