# Rewrite in Standard Form (4i)/(5-4i)

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 .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
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 .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Subtract from .
Simplify each term.
Rewrite as .
Multiply by .
Split the fraction into two fractions.
Move the negative in front of the fraction.
Rewrite in Standard Form (4i)/(5-4i)

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