book Maths Puzzle Numerical Ability

I have a question concerning using quadratic equations to solve word problems.
Here is the question;
Find two positive numbers in the ratio 2:3 whose product is 2400.
I need to

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book Other Question

Here I need to factor the quadratic expression completely, and find the roots of the expression.

135x^2 - 222x + 91 I get this far and then stuck and not sure if its right.

Simply and write answer in positive exponents only

(x^2)^-3 (x^-2) divided by (x^2)^4

My answer
x^-1 times x^-