Basic Math Examples

$20 u^{2} w^{5} v^{7} \cdot (2 w^{3} v^{7})$

Step 1

Multiply $w^{5}$ by $w^{3}$ by adding the exponents.

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Step 1.1

Move $w^{3}$ .

$20 u^{2} (w^{3} w^{5}) v^{7} \cdot (2 v^{7})$

Step 1.2

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

$20 u^{2} w^{3 + 5} v^{7} \cdot (2 v^{7})$

Step 1.3

Add $3$ and $5$ .

$20 u^{2} w^{8} v^{7} \cdot (2 v^{7})$

Step 2

Multiply $v^{7}$ by $v^{7}$ by adding the exponents.

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Step 2.1

Move $v^{7}$ .

$20 u^{2} w^{8} (v^{7} v^{7}) \cdot 2$

Step 2.2

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

$20 u^{2} w^{8} v^{7 + 7} \cdot 2$

Step 2.3

Add $7$ and $7$ .

$20 u^{2} w^{8} v^{14} \cdot 2$

Step 3

Multiply $2$ by $20$ .

$40 u^{2} w^{8} v^{14}$