Basic Math Examples

$- \frac{7}{2 i}$

Step 1

Multiply the numerator and denominator of $\frac{7}{2 i}$ by the conjugate of $2 i$ to make the denominator real.

$- (\frac{7}{2 i} \cdot \frac{i}{i})$

Step 2

Multiply.

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Step 2.1

Combine.

$- \frac{7 i}{2 i i}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Add parentheses.

$- \frac{7 i}{2 (i i)}$

Step 2.2.2

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

$- \frac{7 i}{2 (i^{1} i)}$

Step 2.2.3

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

$- \frac{7 i}{2 (i^{1} i^{1})}$

Step 2.2.4

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

$- \frac{7 i}{2 i^{1 + 1}}$

Step 2.2.5

Add $1$ and $1$ .

$- \frac{7 i}{2 i^{2}}$

Step 2.2.6

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

$- \frac{7 i}{2 \cdot - 1}$

Step 3

Multiply $2$ by $- 1$ .

$- \frac{7 i}{- 2}$

Step 4

Move the negative in front of the fraction.

$- - \frac{7 i}{2}$

Step 5

Multiply $- - \frac{7 i}{2}$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 \frac{7 i}{2}$

Step 5.2

Multiply $\frac{7 i}{2}$ by $1$ .

$\frac{7 i}{2}$