Basic Math Examples

$2 u^{4} \cdot (3 y) \cdot (6 y^{8} u^{3})$

Step 1

Remove unnecessary parentheses.

$2 u^{4} \cdot 3 y \cdot 6 y^{8} u^{3}$

Step 2

Combine exponents.

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Step 2.1

Multiply $3$ by $2$ .

$6 u^{4} y \cdot 6 y^{8} u^{3}$

Step 2.2

Multiply $6$ by $6$ .

$36 u^{4} y \cdot y^{8} u^{3}$

Step 2.3

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

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Step 2.3.1

Move $y^{8}$ .

$36 u^{4} (y^{8} y) u^{3}$

Step 2.3.2

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

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Step 2.3.2.1

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

$36 u^{4} (y^{8} y^{1}) u^{3}$

Step 2.3.2.2

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

$36 u^{4} y^{8 + 1} u^{3}$

Step 2.3.3

Add $8$ and $1$ .

$36 u^{4} y^{9} u^{3}$

Step 2.4

Multiply $u^{4}$ by $u^{3}$ by adding the exponents.

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Step 2.4.1

Move $u^{3}$ .

$36 (u^{3} u^{4}) y^{9}$

Step 2.4.2

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

$36 u^{3 + 4} y^{9}$

Step 2.4.3

Add $3$ and $4$ .

$36 u^{7} y^{9}$