Algebra Examples

$\frac{18 c^{4}}{7 d} \div (9 c^{2} d)$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{18 c^{4}}{7 d}}{9 c^{2} d}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{18 c^{4}}{7 d} \cdot \frac{1}{9 c^{2} d}$

Step 3

Combine.

$\frac{18 c^{4} \cdot 1}{7 d (9 c^{2} d)}$

Step 4

Multiply $d$ by $d$ by adding the exponents.

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Step 4.1

Move $d$ .

$\frac{18 c^{4} \cdot 1}{7 (d \cdot d) (9 c^{2})}$

Step 4.2

Multiply $d$ by $d$ .

$\frac{18 c^{4} \cdot 1}{7 d^{2} (9 c^{2})}$

$\frac{18 c^{4} \cdot 1}{7 d^{2} (9 c^{2})}$

Step 5

Multiply $18 c^{4}$ by $1$ .

$\frac{18 c^{4}}{7 d^{2} (9 c^{2})}$

Step 6

Cancel the common factor of $18$ and $9$ .

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Step 6.1

Factor $9$ out of $18 c^{4}$ .

$\frac{9 (2 c^{4})}{7 d^{2} (9 c^{2})}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $9$ out of $7 d^{2} (9 c^{2})$ .

$\frac{9 (2 c^{4})}{9 (7 d^{2} (c^{2}))}$

Step 6.2.2

Cancel the common factor.

$\frac{9 (2 c^{4})}{9 (7 d^{2} (c^{2}))}$

Step 6.2.3

Rewrite the expression.

$\frac{2 c^{4}}{7 d^{2} (c^{2})}$

$\frac{2 c^{4}}{7 d^{2} (c^{2})}$

$\frac{2 c^{4}}{7 d^{2} (c^{2})}$

Step 7

Cancel the common factor of $c^{4}$ and $c^{2}$ .

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Step 7.1

Factor $c^{2}$ out of $2 c^{4}$ .

$\frac{c^{2} (2 c^{2})}{7 d^{2} (c^{2})}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $c^{2}$ out of $7 d^{2} (c^{2})$ .

$\frac{c^{2} (2 c^{2})}{c^{2} (7 d^{2})}$

Step 7.2.2

Cancel the common factor.

$\frac{c^{2} (2 c^{2})}{c^{2} (7 d^{2})}$

Step 7.2.3

Rewrite the expression.

$\frac{2 c^{2}}{7 d^{2}}$

$\frac{2 c^{2}}{7 d^{2}}$

$\frac{2 c^{2}}{7 d^{2}}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$