Algebra Examples

$\frac{y^{5}}{x^{- 2} x^{- 3} y^{- 8}}$

Step 1

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

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Step 1.1

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

$\frac{y^{5}}{x^{- 2 - 3} y^{- 8}}$

Step 1.2

Subtract $3$ from $- 2$ .

$\frac{y^{5}}{x^{- 5} y^{- 8}}$

Step 2

Move $y^{- 8}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{y^{5} y^{8}}{x^{- 5}}$

Step 3

Move $x^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$y^{5} y^{8} x^{5}$

Step 4

Multiply $y^{5}$ by $y^{8}$ by adding the exponents.

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Step 4.1

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

$y^{5 + 8} x^{5}$

Step 4.2

Add $5$ and $8$ .

$y^{13} x^{5}$