Pre-Algebra Examples

$\frac{8 x^{2}}{8 x^{\frac{4}{3}}}$

Step 1

Move $x^{\frac{4}{3}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$\frac{8 x^{2} x^{- \frac{4}{3}}}{8}$

Step 2

Multiply $x^{2}$ by $x^{- \frac{4}{3}}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $x^{- \frac{4}{3}}$ .

$\frac{8 (x^{- \frac{4}{3}} x^{2})}{8}$

Step 2.2

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

$\frac{8 x^{- \frac{4}{3} + 2}}{8}$

Step 2.3

To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{8 x^{- \frac{4}{3} + 2 \cdot \frac{3}{3}}}{8}$

Step 2.4

Combine $2$ and $\frac{3}{3}$ .

$\frac{8 x^{- \frac{4}{3} + \frac{2 \cdot 3}{3}}}{8}$

Step 2.5

Combine the numerators over the common denominator.

$\frac{8 x^{\frac{- 4 + 2 \cdot 3}{3}}}{8}$

Step 2.6

Simplify the numerator.

Tap for more steps...

Step 2.6.1

Multiply $2$ by $3$ .

$\frac{8 x^{\frac{- 4 + 6}{3}}}{8}$

Step 2.6.2

Add $- 4$ and $6$ .

$\frac{8 x^{\frac{2}{3}}}{8}$

Step 3

Cancel the common factor.

$\frac{8 x^{\frac{2}{3}}}{8}$

Step 4

Divide $x^{\frac{2}{3}}$ by $1$ .

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