What is e^{(pii)/2} ?

The solution to e^{(pii)/2} is i

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simplify e^{(pii)/2}

simplify

e^{\frac{πi}{2}}

i

Solution steps

e^{\frac{πi}{2}}

Apply imaginary number rule:

e^{ia} = cos (a) + i sin (a)

= cos (\frac{π}{2}) + i sin (\frac{π}{2})

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

sin (\frac{π}{2}) = 1

0 + 1 i = 1 i

= 1 i

Multiply:

1 i = i

= i

x^{2} + 2 x + 1 - p^{2}

z^{2} + \frac{5}{2} z + 1 = 0

i^{32}

7 n = 2 n - 5 (- 5)

- 5 (x - 4) + 2 = - 1 + (x + 6)