Algebra Examples

$\frac{x^{7} x^{3}}{y^{- 3} y^{- 8}}$

Step 1

Multiply $x^{7}$ 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.

$\frac{x^{7 + 3}}{y^{- 3} y^{- 8}}$

Step 1.2

Add $7$ and $3$ .

$\frac{x^{10}}{y^{- 3} y^{- 8}}$

Step 2

Multiply $y^{- 3}$ by $y^{- 8}$ 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.

$\frac{x^{10}}{y^{- 3 - 8}}$

Step 2.2

Subtract $8$ from $- 3$ .

$\frac{x^{10}}{y^{- 11}}$

Step 3

Move $y^{- 11}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{10} y^{11}$