Algebra Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Move $y^{8}$ .

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

Step 2.2

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

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

Step 2.3

Subtract $5$ from $8$ .

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