Algebra Examples

$\frac{3 x^{3} \cdot 4 x^{4}}{x^{2}}$

Step 1

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

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Step 1.1

Move $x^{4}$ .

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

Step 1.2

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

$\frac{3 x^{4 + 3} \cdot 4}{x^{2}}$

Step 1.3

Add $4$ and $3$ .

$\frac{3 x^{7} \cdot 4}{x^{2}}$

Step 2

Cancel the common factor of $x^{7}$ and $x^{2}$ .

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Step 2.1

Factor $x^{2}$ out of $3 x^{7} \cdot 4$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{x^{2} (3 x^{5} \cdot 4)}{x^{2} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{2} (3 x^{5} \cdot 4)}{x^{2} \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{3 x^{5} \cdot 4}{1}$

Step 2.2.4

Divide $3 x^{5} \cdot 4$ by $1$ .

$3 x^{5} \cdot 4$

Step 3

Multiply $4$ by $3$ .

$12 x^{5}$