Finite Math Examples

$\frac{8 i}{3 i (5) i}$

Step 1

Group $i$ and $i$ together.

$\frac{8 i}{3 (i i) \cdot 5}$

Step 2

Multiply $i i$ .

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Step 2.1

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

$\frac{8 i}{3 (i^{1} i) \cdot 5}$

Step 2.2

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

$\frac{8 i}{3 (i^{1} i^{1}) \cdot 5}$

Step 2.3

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

$\frac{8 i}{3 i^{1 + 1} \cdot 5}$

Step 2.4

Add $1$ and $1$ .

$\frac{8 i}{3 i^{2} \cdot 5}$

Step 3

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

$\frac{8 i}{3 \cdot - 1 \cdot 5}$

Step 4

Simplify the denominator.

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Step 4.1

Multiply $3$ by $- 1$ .

$\frac{8 i}{- 3 \cdot 5}$

Step 4.2

Multiply $- 3$ by $5$ .

$\frac{8 i}{- 15}$

Step 5

Move the negative in front of the fraction.

$- \frac{8 i}{15}$