(1+i)^4(1+1/i)^4

asked by guest
on Jan 23, 2025 at 5:22 am



You asked:

Evaluate the expression: \({\left( 1 + i \right)}^{4} {\left( 1 + \frac{1}{i} \right)}^{4}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( 1 + i \right)}^{4} {\left( 1 + \frac{1}{i} \right)}^{4} = \left(1 - i\right)^{4} \left(1 + i\right)^{4} \)

Expanded

\[{\left( 1 + i \right)}^{4} {\left( 1 + \frac{1}{i} \right)}^{4} = 16\]

\(i\) is the imaginary unit, defined as \(i^2 = -1\).

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