The solution to your problem is 8 (:
 
        
        
        
The rule for exponents of exponents is:
a^b^c=a^(b*c), in this case:
x^(3/8)^(2/3)
x^((3/8)*(2/3))
x^(6/24)
x^(1/4)
So x^(1/4) is equal to the fourth root.
        
                    
             
        
        
        
So as we already know the ratio is 3 quarts blue paint to 2 quarts red paint, also written as 3:2. if she only has 1 quart blue paint she will need half of a quart of red paint because the ratio has to remain the same amount. if you multiply one side then you must multiply the other. same goes with division. If she only has 1 quart of red paint then that shows she divided the 2 red by 2. There fore you would have to divided the 3 by 2 in order to get 1.5 which would then make the ratio 1.5:1
        
             
        
        
        
The square root of 10 because 
sqrt(10) ^2 * 3.14 = 
10*3.14 = 31.4
        
                    
             
        
        
        
6x - 31 = 11x + 64
6x cancels out and you take 6x away from 11x
-31 = 5x + 64
64 cancels out and you take 64 away from -31
-95 = 5x
Divide both sides by 5
-19 = x