Algebra Examples

$\frac{3 x^{3}}{(6 x^{4}) (4 x^{5})}$

Step 1

Multiply $x^{4}$ by $x^{5}$ by adding the exponents.

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Step 1.1

Move $x^{5}$ .

$\frac{3 x^{3}}{6 (x^{5} x^{4}) \cdot 4}$

Step 1.2

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

$\frac{3 x^{3}}{6 x^{5 + 4} \cdot 4}$

Step 1.3

Add $5$ and $4$ .

$\frac{3 x^{3}}{6 x^{9} \cdot 4}$

Step 2

Cancel the common factor of $3$ and $6$ .

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Step 2.1

Factor $3$ out of $3 x^{3}$ .

$\frac{3 (x^{3})}{6 x^{9} \cdot 4}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $6 x^{9} \cdot 4$ .

$\frac{3 (x^{3})}{3 (2 x^{9} \cdot 4)}$

Step 2.2.2

Cancel the common factor.

$\frac{3 x^{3}}{3 (2 x^{9} \cdot 4)}$

Step 2.2.3

Rewrite the expression.

$\frac{x^{3}}{2 x^{9} \cdot 4}$

Step 3

Cancel the common factor of $x^{3}$ and $x^{9}$ .

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Step 3.1

Multiply by $1$ .

$\frac{x^{3} \cdot 1}{2 x^{9} \cdot 4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x^{3}$ out of $2 x^{9} \cdot 4$ .

$\frac{x^{3} \cdot 1}{x^{3} (2 x^{6} \cdot 4)}$

Step 3.2.2

Cancel the common factor.

$\frac{x^{3} \cdot 1}{x^{3} (2 x^{6} \cdot 4)}$

Step 3.2.3

Rewrite the expression.

$\frac{1}{2 x^{6} \cdot 4}$

Step 4

Multiply $4$ by $2$ .

$\frac{1}{8 x^{6}}$