Finite Math Examples

$\frac{49 b^{4} c^{3}}{\frac{\frac{11 b}{7 b c^{4}}}{c^{2}}}$

Step 1

Cancel the common factor of $b$ .

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Step 1.1

Cancel the common factor.

$\frac{49 b^{4} c^{3}}{\frac{\frac{11 b}{7 b c^{4}}}{c^{2}}}$

Step 1.2

Rewrite the expression.

$\frac{49 b^{4} c^{3}}{\frac{\frac{11}{7 c^{4}}}{c^{2}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$49 b^{4} c^{3} \frac{c^{2}}{\frac{11}{7 c^{4}}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$49 b^{4} c^{3} (c^{2} \frac{7 c^{4}}{11})$

Step 4

Multiply $c^{3}$ by $c^{2}$ by adding the exponents.

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Step 4.1

Move $c^{2}$ .

$49 b^{4} (c^{2} c^{3}) \frac{7 c^{4}}{11}$

Step 4.2

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

$49 b^{4} c^{2 + 3} \frac{7 c^{4}}{11}$

Step 4.3

Add $2$ and $3$ .

$49 b^{4} c^{5} \frac{7 c^{4}}{11}$

Step 5

Multiply $49 b^{4} c^{5} \frac{7 c^{4}}{11}$ .

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Step 5.1

Combine $49$ and $\frac{7 c^{4}}{11}$ .

$b^{4} c^{5} \frac{49 (7 c^{4})}{11}$

Step 5.2

Multiply $7$ by $49$ .

$b^{4} c^{5} \frac{343 c^{4}}{11}$

Step 5.3

Combine $b^{4}$ and $\frac{343 c^{4}}{11}$ .

$c^{5} \frac{b^{4} (343 c^{4})}{11}$

Step 5.4

Combine $c^{5}$ and $\frac{b^{4} (343 c^{4})}{11}$ .

$\frac{c^{5} (b^{4} (343 c^{4}))}{11}$

Step 5.5

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

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Step 5.5.1

Move $c^{4}$ .

$\frac{c^{4} c^{5} (b^{4} \cdot (343))}{11}$

Step 5.5.2

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

$\frac{c^{4 + 5} (b^{4} \cdot (343))}{11}$

Step 5.5.3

Add $4$ and $5$ .

$\frac{c^{9} (b^{4} \cdot (343))}{11}$

Step 6

Move $343$ to the left of $c^{9} b^{4}$ .

$\frac{343 c^{9} b^{4}}{11}$