Finite Math Examples

$\frac{15}{- 5 \cdot (- 1^{2})}$

Step 1

Cancel the common factor of $15$ and $- 5$ .

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Step 1.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{- 5 \cdot (- 1^{2})}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $- 5 \cdot (- 1^{2})$ .

$\frac{5 (3)}{5 (- (- 1^{2}))}$

Step 1.2.2

Cancel the common factor.

$\frac{5 \cdot 3}{5 (- (- 1^{2}))}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{- (- 1^{2})}$

$\frac{3}{- (- 1^{2})}$

$\frac{3}{- (- 1^{2})}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $- 1$ by $- 1$ .

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

Step 2.2

Multiply $1$ by $1^{2}$ by adding the exponents.

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Step 2.2.1

Multiply $1$ by $1^{2}$ .

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Step 2.2.1.1

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

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

Step 2.2.1.2

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

$\frac{3}{1^{1 + 2}}$

$\frac{3}{1^{1 + 2}}$

Step 2.2.2

Add $1$ and $2$ .

$\frac{3}{1^{3}}$

$\frac{3}{1^{3}}$

$\frac{3}{1^{3}}$

Step 3

Simplify the expression.

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Step 3.1

One to any power is one.

$\frac{3}{1}$

Step 3.2

Divide $3$ by $1$ .

$3$

$3$

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