Multiply the numerator and denominator of by the conjugate of to make the denominator real.

Multiply.

Combine.

Simplify the numerator.

Apply the distributive property.

Multiply by .

Multiply .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Simplify each term.

Rewrite as .

Multiply by .

Reorder and .

Simplify the denominator.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify.

Multiply by .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Subtract from .

Add and .

Simplify each term.

Rewrite as .

Multiply by .

Add and .

Split the fraction into two fractions.

Move the negative in front of the fraction.

Apply the distributive property.

Multiply .

Multiply by .

Multiply by .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Add and .

Rewrite in Standard Form 6-(4i)/(2-i)