Pre-Algebra Examples

$x^{2} \cdot y^{8} \cdot x^{6} \cdot y^{4}$

Step 1

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

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Step 1.1

Move $x^{6}$ .

$x^{6} x^{2} \cdot y^{8} \cdot y^{4}$

Step 1.2

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

$x^{6 + 2} \cdot y^{8} \cdot y^{4}$

Step 1.3

Add $6$ and $2$ .

$x^{8} \cdot y^{8} \cdot y^{4}$

Step 2

Multiply $y^{8}$ by $y^{4}$ by adding the exponents.

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Step 2.1

Move $y^{4}$ .

$x^{8} \cdot (y^{4} y^{8})$

Step 2.2

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

$x^{8} \cdot y^{4 + 8}$

Step 2.3

Add $4$ and $8$ .

$x^{8} \cdot y^{12}$

$x^{8} y^{12}$