Basic Math Examples

$\frac{y^{5 (\frac{1}{3})}}{y^{\frac{11}{3}}}$

Step 1

Move $y^{5 (\frac{1}{3})}$ to the denominator using the negative exponent rule $b^{n} = \frac{1}{b^{- n}}$ .

$\frac{1}{y^{\frac{11}{3}} y^{- 5 (\frac{1}{3})}}$

Step 2

Multiply $y^{\frac{11}{3}}$ by $y^{- 5 (\frac{1}{3})}$ 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.

$\frac{1}{y^{\frac{11}{3} - 5 (\frac{1}{3})}}$

Step 2.2

Simplify each term.

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Step 2.2.1

Combine $- 5$ and $\frac{1}{3}$ .

$\frac{1}{y^{\frac{11}{3} + \frac{- 5}{3}}}$

Step 2.2.2

Move the negative in front of the fraction.

$\frac{1}{y^{\frac{11}{3} - \frac{5}{3}}}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{1}{y^{\frac{11 - 5}{3}}}$

Step 2.4

Subtract $5$ from $11$ .

$\frac{1}{y^{\frac{6}{3}}}$

Step 2.5

Divide $6$ by $3$ .

$\frac{1}{y^{2}}$