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 .

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.

Add parentheses.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Multiply by .

Split the fraction into two fractions.

Simplify each term.

Move the negative in front of the fraction.

Cancel the common factor of and .

Factor out of .

Move the negative one from the denominator of .

Rewrite as .

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

Multiply.

Combine.

Simplify the denominator.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Move the negative one from the denominator of .

Rewrite as .

Multiply by .

Subtract from .

Simplify (6-i)/(6i)+2/i