Finite Math Examples

$\frac{1}{2} \cdot ((\frac{p \cdot 4}{3} \cdot (p (2))) (800))$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $(\frac{p \cdot 4}{3} \cdot (p (2))) (800)$ .

$\frac{1}{2} \cdot (2 ((\frac{p \cdot 2}{3} \cdot (p (2))) \cdot 800))$

Step 1.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 ((\frac{p \cdot 2}{3} \cdot (p (2))) \cdot 800))$

Step 1.3

Rewrite the expression.

$(\frac{p \cdot 2}{3} \cdot (p (2))) \cdot 800$

Step 2

Combine $p$ and $\frac{p \cdot 2}{3}$ .

$\frac{p (p \cdot 2)}{3} \cdot 2 \cdot 800$

Step 3

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

$\frac{p^{1} p \cdot 2}{3} \cdot 2 \cdot 800$

Step 4

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

$\frac{p^{1} p^{1} \cdot 2}{3} \cdot 2 \cdot 800$

Step 5

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

$\frac{p^{1 + 1} \cdot 2}{3} \cdot 2 \cdot 800$

Step 6

Add $1$ and $1$ .

$\frac{p^{2} \cdot 2}{3} \cdot 2 \cdot 800$

Step 7

Combine $\frac{p^{2} \cdot 2}{3}$ and $2$ .

$\frac{p^{2} \cdot 2 \cdot 2}{3} \cdot 800$

Step 8

Multiply $2$ by $2$ .

$\frac{p^{2} \cdot 4}{3} \cdot 800$

Step 9

Combine $\frac{p^{2} \cdot 4}{3}$ and $800$ .

$\frac{p^{2} \cdot 4 \cdot 800}{3}$

Step 10

Simplify the expression.

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Step 10.1

Multiply $800$ by $4$ .

$\frac{p^{2} \cdot 3200}{3}$

Step 10.2

Move $3200$ to the left of $p^{2}$ .

$\frac{3200 p^{2}}{3}$