Basic Math Examples

$12 w^{6} \cdot (44 w^{5}) + 40 w^{4}$

Step 1

Rewrite using the commutative property of multiplication.

$12 \cdot 44 w^{6} w^{5} + 40 w^{4}$

Step 2

Multiply $w^{6}$ by $w^{5}$ by adding the exponents.

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Step 2.1

Move $w^{5}$ .

$12 \cdot 44 (w^{5} w^{6}) + 40 w^{4}$

Step 2.2

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

$12 \cdot 44 w^{5 + 6} + 40 w^{4}$

Step 2.3

Add $5$ and $6$ .

$12 \cdot 44 w^{11} + 40 w^{4}$

Step 3

Multiply $12$ by $44$ .

$528 w^{11} + 40 w^{4}$

Step 4

Factor $8 w^{4}$ out of $528 w^{11} + 40 w^{4}$ .

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Step 4.1

Factor $8 w^{4}$ out of $528 w^{11}$ .

$8 w^{4} (66 w^{7}) + 40 w^{4}$

Step 4.2

Factor $8 w^{4}$ out of $40 w^{4}$ .

$8 w^{4} (66 w^{7}) + 8 w^{4} (5)$

Step 4.3

Factor $8 w^{4}$ out of $8 w^{4} (66 w^{7}) + 8 w^{4} (5)$ .

$8 w^{4} (66 w^{7} + 5)$