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

5 x^{2} + 9 x - 2

6 x + 9 = 6 (x + 5) - 21

x - 6 = 7

2 7^{3}