Finite Math Examples

Evaluate 4/(5+6i)
Step 1
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 2
Multiply.
Tap for more steps...
Step 2.1
Combine.
Step 2.2
Simplify the numerator.
Tap for more steps...
Step 2.2.1
Apply the distributive property.
Step 2.2.2
Multiply by .
Step 2.2.3
Multiply by .
Step 2.3
Simplify the denominator.
Tap for more steps...
Step 2.3.1
Expand using the FOIL Method.
Tap for more steps...
Step 2.3.1.1
Apply the distributive property.
Step 2.3.1.2
Apply the distributive property.
Step 2.3.1.3
Apply the distributive property.
Step 2.3.2
Simplify.
Tap for more steps...
Step 2.3.2.1
Multiply by .
Step 2.3.2.2
Multiply by .
Step 2.3.2.3
Multiply by .
Step 2.3.2.4
Multiply by .
Step 2.3.2.5
Raise to the power of .
Step 2.3.2.6
Raise to the power of .
Step 2.3.2.7
Use the power rule to combine exponents.
Step 2.3.2.8
Add and .
Step 2.3.2.9
Add and .
Step 2.3.2.10
Add and .
Step 2.3.3
Simplify each term.
Tap for more steps...
Step 2.3.3.1
Rewrite as .
Step 2.3.3.2
Multiply by .
Step 2.3.4
Add and .
Step 3
Split the fraction into two fractions.
Step 4
Move the negative in front of the fraction.