Please help me with this assignment

Step-by-step explanation:    

Ok, so here are the basic steps of problem one:

P: Parenthesis. Flip both the negatives to positives:  (6)to the 5th power  X (6) to the 4th power.

E: Exponents: bring the first 6 to the 5th power: 6x6x6x6x6=7776 and the second to the 4th: 6x6x6x6=1296

M:Multiplication. Multiply 6 and 6 to get 10077696 (Thats you answer!)

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0