Finite Math Examples

$\frac{12 P \cdot 10}{12} \cdot P^{2}$

Step 1

Multiply $10$ by $12$ .

$\frac{120 P}{12} \cdot P^{2}$

Step 2

Cancel the common factor of $120$ and $12$ .

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Step 2.1

Factor $12$ out of $120 P$ .

$\frac{12 (10 P)}{12} \cdot P^{2}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $12$ out of $12$ .

$\frac{12 (10 P)}{12 (1)} \cdot P^{2}$

Step 2.2.2

Cancel the common factor.

$\frac{12 (10 P)}{12 \cdot 1} \cdot P^{2}$

Step 2.2.3

Rewrite the expression.

$\frac{10 P}{1} \cdot P^{2}$

Step 2.2.4

Divide $10 P$ by $1$ .

$10 P \cdot P^{2}$

$10 P \cdot P^{2}$

$10 P \cdot P^{2}$

Step 3

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

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Step 3.1

Move $P^{2}$ .

$10 (P^{2} P)$

Step 3.2

Multiply $P^{2}$ by $P$ .

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Step 3.2.1

Raise $P$ to the power of $1$ .

$10 (P^{2} P^{1})$

Step 3.2.2

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

$10 P^{2 + 1}$

$10 P^{2 + 1}$

Step 3.3

Add $2$ and $1$ .

$10 P^{3}$

$10 P^{3}$

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