Finite Math Examples

$\frac{5}{3 i}$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Multiply the numerator and denominator of $\frac{5}{3 i}$ by the conjugate of $3 i$ to make the denominator real.

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

Step 1.2

Multiply.

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Step 1.2.1

Combine.

$\frac{5 i}{3 i i}$

Step 1.2.2

Simplify the denominator.

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Step 1.2.2.1

Add parentheses.

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

Step 1.2.2.2

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

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

Step 1.2.2.3

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

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

Step 1.2.2.4

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

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

Step 1.2.2.5

Add $1$ and $1$ .

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

Step 1.2.2.6

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

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

Step 1.3

Multiply $3$ by $- 1$ .

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

Step 1.4

Move the negative in front of the fraction.

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

Step 2

The degree cannot be determined because $- \frac{5 i}{3}$ is not a polynomial.

Not a polynomial