Algebra Examples

$\frac{6 π}{9 π^{3} - 36 π^{2}} \cdot \frac{9 π^{2}}{π + 4}$

Step 1

Multiply $\frac{6 π}{9 π^{3} - 36 π^{2}}$ by $\frac{9 π^{2}}{π + 4}$ .

$\frac{6 π (9 π^{2})}{(9 π^{3} - 36 π^{2}) (π + 4)}$

Step 2

Multiply $9$ by $6$ .

$\frac{54 π π^{2}}{(9 π^{3} - 36 π^{2}) (π + 4)}$

Step 3

Multiply $π$ by $π^{2}$ by adding the exponents.

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Step 3.1

Move $π^{2}$ .

$\frac{54 (π^{2} π)}{(9 π^{3} - 36 π^{2}) (π + 4)}$

Step 3.2

Multiply $π^{2}$ by $π$ .

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Step 3.2.1

Raise $π$ to the power of $1$ .

$\frac{54 (π^{2} π^{1})}{(9 π^{3} - 36 π^{2}) (π + 4)}$

Step 3.2.2

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

$\frac{54 π^{2 + 1}}{(9 π^{3} - 36 π^{2}) (π + 4)}$

Step 3.3

Add $2$ and $1$ .

$\frac{54 π^{3}}{(9 π^{3} - 36 π^{2}) (π + 4)}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{54 π^{3}}{(9 π^{3} - 36 π^{2}) (π + 4)}$

Decimal Form:

$- 3.07476990 \dots$