Algebra Examples

$\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}$

Step 1

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

$x^{\frac{7}{3}} x^{- \frac{2}{3}}$

Step 2

Multiply $x^{\frac{7}{3}}$ by $x^{- \frac{2}{3}}$ 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.

$x^{\frac{7}{3} - \frac{2}{3}}$

Step 2.2

Combine the numerators over the common denominator.

$x^{\frac{7 - 2}{3}}$

Step 2.3

Subtract $2$ from $7$ .

$x^{\frac{5}{3}}$