Algebra Examples

$4 a^{3} \cdot 3 b^{3} \cdot 5 a^{2}$

Step 1

Multiply $a^{3}$ by $a^{2}$ by adding the exponents.

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Step 1.1

Move $a^{2}$ .

$4 (a^{2} a^{3}) \cdot (3 b^{3}) \cdot 5$

Step 1.2

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

$4 a^{2 + 3} \cdot (3 b^{3}) \cdot 5$

Step 1.3

Add $2$ and $3$ .

$4 a^{5} \cdot (3 b^{3}) \cdot 5$

Step 2

Rewrite using the commutative property of multiplication.

$4 \cdot 3 a^{5} b^{3} \cdot 5$

Step 3

Multiply $4$ by $3$ .

$12 a^{5} b^{3} \cdot 5$

Step 4

Multiply $5$ by $12$ .

$60 a^{5} b^{3}$