SOLUTION: Given the fact that i, the imaginary unit is &#8730;-1, what will be the value of {{{ 4i^46 }}} A.) {{{ 4 }}} B.) {{{ -4 }}} C.) {{{ 4i }}} D.) {{{ -4i }}}

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Question 1054004: Given the fact that i, the imaginary unit is √-1, what will be the value of
A.)
B.)
C.)
D.)
Found 3 solutions by Boreal, ikleyn, MathTherapy:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website!
i^46 is like i^2=-1
The answer is 4*(-1)=-4
i^1=i
i^2=-1
i^3=-i
i^4=1
B

Answer by ikleyn(52798)   (Show Source):
You can put this solution on YOUR website!
.

The degrees of go in the cyclical order degree n: 1 2 3 4 5 6 7 8 9 10 11 12 . . . : i -1 -i 1 i -1 -i 1 i -1 -i 1 . . . Therefore, = = = -1.

See the lesson
    - Solved problems on arithmetic operations on complex numbers
in this site.

There is a bunch of my lessons on complex numbers

    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number
    - Solution of the quadratic equation with real coefficients on complex domain
    - How to take a square root of a complex number
    - Solution of the quadratic equation with complex coefficients on complex domain

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
    - Solved problem on taking square root of complex number
    - Miscellaneous problems on complex numbers

in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook.

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

Given the fact that i, the imaginary unit is √-1, what will be the value of
A.)
B.)
C.)
D.)

SOLUTION: Given the fact that i, the imaginary unit is &#8730;-1, what will be the value of {{{ 4i^46 }}} A.) {{{ 4 }}} B.) {{{ -4 }}} C.) {{{ 4i }}} D.) {{{ -4i }}}

SOLUTION: Given the fact that i, the imaginary unit is √-1, what will be the value of {{{ 4i^46 }}} A.) {{{ 4 }}} B.) {{{ -4 }}} C.) {{{ 4i }}} D.) {{{ -4i }}}