Algebra Examples

$x^{2} y^{2} \cdot x^{6} y^{7}$

Step 1

Multiply $x^{2}$ by $x^{6}$ by adding the exponents.

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Step 1.1

Move $x^{6}$ .

$x^{6} x^{2} y^{2} \cdot y^{7}$

Step 1.2

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

$x^{6 + 2} y^{2} \cdot y^{7}$

Step 1.3

Add $6$ and $2$ .

$x^{8} y^{2} \cdot y^{7}$

Step 2

Multiply $y^{2}$ by $y^{7}$ by adding the exponents.

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Step 2.1

Move $y^{7}$ .

$x^{8} (y^{7} y^{2})$

Step 2.2

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

$x^{8} y^{7 + 2}$

Step 2.3

Add $7$ and $2$ .

$x^{8} y^{9}$