Powers of Complex Numbers

Topic Page

Questions

• How do I use DeMoivre's theorem to find #(1+i)^5#?
• How do I use DeMoivre's theorem to find #(1-i)^10#?
• How do I use DeMoivre's theorem to find #(2+2i)^6#?
• What is #i^2#?
• What is #i^3#?
• What is #i^4#?
• How do I find the value of a given power of #i#?
• How do I find the #n#th power of a complex number?
• How do I find the negative power of a complex number?
• Write the complex number #i^17# in standard form?
• How do you simplify #i^-33#?
• What does #sqrt(3+7i)*(12+5i)^2# equal in a+bi form?
• How do you simplify #i14#?
• How do you simplify #23i#?
• How do you simplify #i^17#?
• How do you simplify #i^36#?
• How do you simplify #i^19#?
• How do you simplify #i^27#?
• How do you simplify #sqrt(-4) - sqrt(-25)#?
• How do you simplify #2sqrt(-4) + 3sqrt(-36)#?
• How do you simplify #5sqrt(-75 )+ 3sqrt(-48)#?
• How do you simplify #sqrt(-3) + sqrt(-27)#?
• How do you simplify #i^64#?
• How do you simplify #i^35#?
• How do you simplify #i^21 + i^30#?
• How do you simplify #i^18#?
• How do you simplify #3i^42 - 5i^46 + 2i^29 - (4i^2)^3 + i^0#?
• How do you simplify #i^25#?
• How do you simplify #i^42#?
• How do you simplify #3i^2 - 4i^4 + 5i^8 + 3#?
• How do you simplify #5i^4 + 3i^2 + 4i^7 - 4#?
• How do you simplify #i^100#?
• How do you simplify #i^101#?
• How do you simplify #i^102#?
• How do you simplify #i^-11#?
• How do you simplify #i^922#?
• How do you simplify #7sqrt(-36) + 4sqrt(-81)#?
• How do you simplify #12sqrt(-98) - 4sqrt(-50)#?
• How do you simplify #5sqrt(-75) - 9sqrt(-300)#?
• How do you simplify #(2i)^(1/2)#?
• How do you simplify #(1−(sqrt3)*i)^(1/2)#?
• How do you simplify #(-1)^(1/3)#?
• How do you simplify #sqrt(-2156)#?
• How do you simplify #3i^7#?
• How do you simplify #i^109#?
• How do you simplify #7i^40 - 9i^100#?
• How do you simplify #i^20#?
• How do you simplify #i^-12#?
• How do you simplify #i^41#?
• What is the sum of this imaginary number series problem: #i + 2i^2 + 3i^3 + 4i^4 + 5i^5 +.......+ 2002i^2002#?
• How do you simplify #i^123458#?
• How do you simplify # i^37#?
• How do you simplify #3i^2 - 4i^4 + 5i^8 + 3# and write in a+bi form?
• How do you simplify #i^59#?
• How do you simplify #i^48 + i^150 - i^78 - i^109 + i^61#?
• How do you simplify #i^100#?
• How do you simplify #i^24#?
• How do you simplify #i^25#?
• How do you simplify #i^999#?
• How do you simplify #i^1005#?
• How do you simplify #i^279#?
• How do you simplify #i^333#?
• How do you simplify #i^266#?
• How do you simplify #i^116#?
• How do you simplify #i^803#?
• How do you simplify #i^94#?
• How do you simplify #i^656#?
• How do you simplify #i^43#?
• How do you simplify #i^247#?
• How do you simplify #i^752#?
• How do you simplify #i^37#?
• How do you simplify # i^5#?
• How do you simplify #i^38#?
• How do you simplify #i^15#?
• How do you simplify #i^7#?
• How do you simplify #i^28#?
• How do you simplify #i^76#?
• How do you simplify #i^57#?
• How do you simplify #i^29#?
• Question #67a77
• How do you show that if #n# is a non-zero integer then #(4/5+3/5i)^n != 1# ?
• How do you find the absolute value of #5+12i#?
• How do you find the absolute value of #-2-i#?
• How do you find the absolute value of #-7+i#?
• How do you find the absolute value of #2+5i#?
• How do you find the absolute value of #4-8i#?
• How do you find the absolute value of #-9+6i#?
• How do you find the absolute value of #sqrt11+isqrt5#?
• How do you simplify #-6i^3+i^2#?
• How do you simplify #(-i)^3#?
• How do you simplify #sqrt(-75)^3#?
• How do you simplify #sqrt(-2)^6#?
• How do you simplify #1/i^3#?
• How do you simplify #1/(2i)^3#?
• How do you find the fourth roots of #i#?
• How do you simplify #i^13#?
• How do you use the exponent to determine the simplified form of any power of i?
• How do take the inverse of an absolute value?
• How do you find the power #(sqrt3-i)^3# and express the result in rectangular form?
• How do you find the power #(3-5i)^4# and express the result in rectangular form?
• How do you find the power #[3(cos(pi/6)+isin(pi/6)]^3# and express the result in rectangular form?
• How do you find the power #[2(cos(pi/4)+isin(pi/4)]^5# and express the result in rectangular form?
• How do you find the power #(-2+2i)^3# and express the result in rectangular form?
• How do you find the power #(1+sqrt3i)^4# and express the result in rectangular form?
• How do you find the power #(3-6i)^4# and express the result in rectangular form?
• How do you find the power #(2+3i)^-2# and express the result in rectangular form?
• How do you solve #x^4+i=0#?
• How do you solve #2x^3+4+2i=0#?
• How do you solve #x^3-1=0#?
• How do you solve #x^5+1=0#?
• How do you solve #2x^4-128=0#?
• How do you solve #3x^4+38=0#?
• How do you solve #2x^4+2+2sqrt3i=0#?
• How to find Re: z, when #z=i^(i+1)# ?
• How to find the Im: z, when #z=((1+i)/(1-i*sqrt(3)))^(-2i)#?
• How do you calculate #root(n)(i), ninRR#?