Algebra Examples

$- 6 x^{3} \cdot x \cdot y^{2} \cdot y^{6}$

Step 1

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

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Step 1.1

Move $x$ .

$- 6 (x \cdot x^{3}) \cdot y^{2} \cdot y^{6}$

Step 1.2

Multiply $x$ by $x^{3}$ .

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Step 1.2.1

Raise $x$ to the power of $1$ .

$- 6 (x^{1} x^{3}) \cdot y^{2} \cdot y^{6}$

Step 1.2.2

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

$- 6 x^{1 + 3} \cdot y^{2} \cdot y^{6}$

Step 1.3

Add $1$ and $3$ .

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

Step 2

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

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Step 2.1

Move $y^{6}$ .

$- 6 x^{4} \cdot (y^{6} y^{2})$

Step 2.2

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

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

Step 2.3

Add $6$ and $2$ .

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

$- 6 x^{4} y^{8}$