Basic Math Examples

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

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.

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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.

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Step 2.5.1

Multiply $4$ by $3$ .

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

Step 2.5.2

Subtract $4$ from $12$ .

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