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

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.

Move the negative in front of the fraction.

Move the negative in front of the fraction.

Rewrite in Standard Form (6-5i)/(7i)