Simplify 1/(i^3(2-i)^2)

Math
Factor out .
Rewrite as .
Reduce the expression by cancelling the common factors.
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Rewrite as .
Cancel the common factor of and .
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Rewrite as .
Move the negative in front of the fraction.
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Multiply by .
Multiply by .
Multiply .
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Rewrite as .
Subtract from .
Subtract from .
Apply the distributive property.
Move to the left of .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify each term.
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Rewrite as .
Multiply by .
Reorder and .
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
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Combine.
Multiply by .
Simplify the denominator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
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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.
Add and .
Add and .
Add and .
Simplify each term.
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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 .
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Multiply by .
Multiply by .
Simplify 1/(i^3(2-i)^2)
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