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Popular >

simplify e^{3-3pii}

Solution

simplify

e^{3 - 3 πi}

Solution

- e^{3}

+1

Decimal Notation

- 20.08553 \dots

Solution steps

e^{3 - 3 πi}

Apply imaginary number rule:

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

= e^{3} (cos (- 3 π) + i sin (- 3 π))

cos (- 3 π) = - 1

= e^{3} (- 1 + i sin (- 3 π))

sin (- 3 π) i = 0

= e^{3} (0 - 1)

Simplify

= - e^{3}

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[1.4]

Frequently Asked Questions (FAQ)

What is e^{3-3pii} ?
The solution to e^{3-3pii} is -e^3