Basic Math Examples

\frac{y^{\frac{4}{3}}}{y^{4}}

$\frac{y^{\frac{4}{3}}}{y^{4}}$

Step 1

Move

$y^{\frac{4}{3}}$ to the denominator using the negative exponent rule

$b^{n} = \frac{1}{b^{- n}}$ .

$\frac{1}{y^{4} y^{- \frac{4}{3}}}$

Step 2

Multiply

$y^{4}$ by

$y^{- \frac{4}{3}}$ 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.

$\frac{1}{y^{4 - \frac{4}{3}}}$

Step 2.2

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{1}{y^{4 \cdot \frac{3}{3} - \frac{4}{3}}}$

Step 2.3

Combine

$4$ and

$\frac{3}{3}$ .

$\frac{1}{y^{\frac{4 \cdot 3}{3} - \frac{4}{3}}}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{1}{y^{\frac{4 \cdot 3 - 4}{3}}}$

Step 2.5

Simplify the numerator.

Tap for more steps...

Step 2.5.1

Multiply

$4$ by

$3$ .

$\frac{1}{y^{\frac{12 - 4}{3}}}$

Step 2.5.2

Subtract

$4$ from

$12$ .

$\frac{1}{y^{\frac{8}{3}}}$