Finite Math Examples

$\frac{6 i}{2 i \cdot (3 i)}$

Step 1

Cancel the common factor of $6$ and $2$ .

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Step 1.1

Factor $2$ out of $6 i$ .

$\frac{2 (3 i)}{2 i \cdot (3 i)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $2 i \cdot (3 i)$ .

$\frac{2 (3 i)}{2 (i \cdot (3 i))}$

Step 1.2.2

Cancel the common factor.

$\frac{2 (3 i)}{2 (i \cdot (3 i))}$

Step 1.2.3

Rewrite the expression.

$\frac{3 i}{i \cdot (3 i)}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Cancel the common factor.

$\frac{3 i}{i \cdot (3 i)}$

Step 2.2

Rewrite the expression.

$\frac{i}{i \cdot (i)}$

Step 3

Multiply $i i$ .

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Step 3.1

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

$\frac{i}{i^{1} i}$

Step 3.2

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

$\frac{i}{i^{1} i^{1}}$

Step 3.3

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

$\frac{i}{i^{1 + 1}}$

Step 3.4

Add $1$ and $1$ .

$\frac{i}{i^{2}}$

Step 4

Rewrite $i^{2}$ as $- 1$ .

$\frac{i}{- 1}$

Step 5

Move the negative one from the denominator of $\frac{i}{- 1}$ .

$- 1 \cdot i$

Step 6

Rewrite $- 1 \cdot i$ as $- i$ .

$- i$