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Imaginary Unit
 i =
 i^{2}=1


Complex Numbers are in the form:
a+bi

4
 factor out imaginary number
 combine like terms if any

(42i)(2+5i) or (42i)+(2+5i)
add/subtract like terms

(1 ) + (6+ )
 seperate  from square root
 find square of the positive numbers
 attached i to squared numbers
 combine like factors

5i(32i)
 distribute 5i
 multiply out the i^{2} (1)

(6+8i)(72i)
 FOIL
 mulitply for imaginary number (i^{2}=1)
 combine like terms

 multiply by the conjugate (7i)
 distribute in the num, multiply in the denom
 simplify is possible

 multiply by the conjugate (9i)
 distribute in the num.
 FOIL in the denom.
 multiply for i^{2} (1)
 separate answer into two fractions & simplify if possible

46x = 4x1
 1) use rule M=V ⇒m±v
 2) write equation as
 46x=4x1 and 46x=(4x1)
 3) Solve for X in each equation

4x+1 > 3
 1) Use rule M>a, M<a or M>a
 2) Rewrite equation as 4x+1<3 & 4x+1>3
 3) Solve for X

 1) Add equation within root
 2) Square response

 1) , is root is even

 1) Divide num and denom by root (5)
 2) divide remaining fraction

27^{2/3}
1) can be figured out on calculator

^{20}
 1) multiple exponents
 2) reduce fraction

6(32x^{5/6}y^{3})^{2/5}
 1) distribute exponent outside of the ()
 2) multiply exponents
 3) create fraction with negative exponent on the bottom

 1) make indexes exponents
 2) Simplify exponents
 3) subtract exponents

 1) factor out 63
 2) find roots of numbers
 3) factor out exponents of variables

 1) combine factors
 2) multiply factors
 3) factor out variables
 4) find the roots of the variables

 1) Simplify large variables
 2) Square variables
 3) subtract variables

