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Popular >

simplify ((1+i)/(1-i))^3

Solution

simplify

(\frac{1 + i}{1 - i})^{3}

Solution

- i

Solution steps

(\frac{1 + i}{1 - i})^{3}

Simplify

\frac{1 + i}{1 - i} : i

= i^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

i^{3} = i^{2} i

= i^{2} i

Apply imaginary number rule:

i^{2} = - 1

= - 1 i

Apply rule:

1 \cdot a = a

= - i

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Frequently Asked Questions (FAQ)

What is ((1+i)/(1-i))^3 ?
The solution to ((1+i)/(1-i))^3 is -i