Math Formulas

Algebra → Complex numbers → Exponentiation of complex numbers

MR-147

Determine the value of the expression below:

$i^{225} + {(- i)}^{60} + i^{83}$

MR-152

Determine the value of the expression below:

${(2 i)}^{2} + (- 2 i)^{4}$

MR-153

Determine the value of the expression below:

${(\frac{1 + i}{\sqrt{2}})}^{1000} + {(\frac{1 - i}{\sqrt{2}})}^{1000}$

MR-160

Simplify the following expression:

${(\frac{1 + i \sqrt{3}}{2})}^{3000} + {(\frac{1 - i \sqrt{3}}{2})}^{3000}$

MR-161

Determine the value of the expression below:

$\frac{{(1 + i)}^{1000}}{{(1 - i)}^{500}}$