Pre-Algebra Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Multiply $x$ by $x^{- \frac{2}{3}}$ .

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Step 2.1.1

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

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

Step 2.1.2

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

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

Step 2.2

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

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

Step 2.3

Combine the numerators over the common denominator.

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

Step 2.4

Subtract $2$ from $3$ .

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

Step 3

Move the negative in front of the fraction.

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