Algebra Examples

$(3 x^{3}) (3 x^{4}) (- 3 x^{2})$

Step 1

Multiply $x^{3}$ by $x^{4}$ by adding the exponents.

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Step 1.1

Move $x^{4}$ .

$3 (x^{4} x^{3}) \cdot 3 (- 3 x^{2})$

Step 1.2

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

$3 x^{4 + 3} \cdot 3 (- 3 x^{2})$

Step 1.3

Add $4$ and $3$ .

$3 x^{7} \cdot 3 (- 3 x^{2})$

Step 2

Multiply $x^{7}$ by $x^{2}$ by adding the exponents.

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Step 2.1

Move $x^{2}$ .

$3 (x^{2} x^{7}) \cdot 3 \cdot - 3$

Step 2.2

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

$3 x^{2 + 7} \cdot 3 \cdot - 3$

Step 2.3

Add $2$ and $7$ .

$3 x^{9} \cdot 3 \cdot - 3$

Step 3

Multiply $3$ by $3$ .

$9 x^{9} \cdot - 3$

Step 4

Multiply $- 3$ by $9$ .

$- 27 x^{9}$