Basic Math Examples

$(6 x^{3 n + 2}) (3 x^{2 n + 1})$

Step 1

Rewrite using the commutative property of multiplication.

$6 \cdot 3 x^{3 n + 2} x^{2 n + 1}$

Step 2

Multiply $x^{3 n + 2}$ by $x^{2 n + 1}$ by adding the exponents.

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Step 2.1

Move $x^{2 n + 1}$ .

$6 \cdot 3 (x^{2 n + 1} x^{3 n + 2})$

Step 2.2

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

$6 \cdot 3 x^{2 n + 1 + 3 n + 2}$

Step 2.3

Add $2 n$ and $3 n$ .

$6 \cdot 3 x^{5 n + 1 + 2}$

Step 2.4

Add $1$ and $2$ .

$6 \cdot 3 x^{5 n + 3}$

Step 3

Multiply $6$ by $3$ .

$18 x^{5 n + 3}$