1.] multiplication of x squared by x yields a 3rd degree polynomial (having an x cubed term)
2.] (x+3)^1/2 - 4 = x - 1
(x+3)^1/2 = x + 3
square both sides: x+3 = (x+3)^2
simplify: x + 3 = x^2 + 6x + 9
bring all terms to one side so that 0 = x^2 + 5x + 6
factor the polynomial 0 = (x + 2) ( x + 3)
set each factor equal to zero & solve to get x = -2 and x = -3
3.] x = 4 , not extraneous
4.] In mathematics, complex conjugates are a pair of complex numbers, both having the same real part, but with imaginary parts of equal magnitude and opposite signs. So -6 - 5i and -6 + 5i are complex conjugates.
5.] x = 8 and x = 9
6.] x to the sixteenth twenty fifth power
x^4/5 * x^4/5 multiply exponents to get x^16/25
7.] quantity of 80 minus 50 i over 39