Basic Math Examples

$2 y^{6} \cdot (6 w) \cdot (2 w^{8} y^{3})$

Step 1

Remove unnecessary parentheses.

$2 y^{6} \cdot 6 w \cdot 2 w^{8} y^{3}$

Step 2

Combine exponents.

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Step 2.1

Multiply $6$ by $2$ .

$12 y^{6} w \cdot 2 w^{8} y^{3}$

Step 2.2

Multiply $2$ by $12$ .

$24 y^{6} w \cdot w^{8} y^{3}$

Step 2.3

Multiply $w$ by $w^{8}$ by adding the exponents.

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Step 2.3.1

Move $w^{8}$ .

$24 y^{6} (w^{8} w) y^{3}$

Step 2.3.2

Multiply $w^{8}$ by $w$ .

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Step 2.3.2.1

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

$24 y^{6} (w^{8} w^{1}) y^{3}$

Step 2.3.2.2

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

$24 y^{6} w^{8 + 1} y^{3}$

Step 2.3.3

Add $8$ and $1$ .

$24 y^{6} w^{9} y^{3}$

Step 2.4

Multiply $y^{6}$ by $y^{3}$ by adding the exponents.

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Step 2.4.1

Move $y^{3}$ .

$24 (y^{3} y^{6}) w^{9}$

Step 2.4.2

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

$24 y^{3 + 6} w^{9}$

Step 2.4.3

Add $3$ and $6$ .

$24 y^{9} w^{9}$