Basic Math Examples

$(12 a^{2}) (\frac{2}{3} a^{3})$

Step 1

Rewrite using the commutative property of multiplication.

$12 \cdot \frac{2}{3} a^{2} a^{3}$

Step 2

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

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Step 2.1

Move $a^{3}$ .

$12 \cdot \frac{2}{3} (a^{3} a^{2})$

Step 2.2

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

$12 \cdot \frac{2}{3} a^{3 + 2}$

Step 2.3

Add $3$ and $2$ .

$12 \cdot \frac{2}{3} a^{5}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $12$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$4 \cdot 2 a^{5}$

Step 4

Multiply $4$ by $2$ .

$8 a^{5}$