For questions 110 write each expression in the standard form

For questions 1-10, write each expression in the standard form for a complex number, a + bi. 1. (2(COS(PI/20+ I SIN(PI/20)))^-5 2.[sqrt1(cos(3pi /14)) + isin(3pi /14)]^7 3.[sqrt5(cos(5pi / 16)) + isin(5pi / 16)]^4 4.[^3sqrt7(cos(pi / 18)) + isin(pi / 18)]^6 5.(1 + i)^5 6.(-sqrt3 + i)^5

Solution

(2(cos(pi/20)+isin(pi/20)))^-5

2^-5(cos(-pi/4)+i sin(-pi/4))

1/32(1/sqrt2 -i/sqrt2)

Sqrt2/64 -i sqrt2/64