We want to expand (2x + y²)⁵.
From Pascal's Triangle (shown below), the coefficients of the expansion are 
1,5,10,10,5,1.
n=0:                        1
n=1:                      1      1
n=2:                   1    2     1
n=3:                 1   3    3     1
n=4:               1   4   6    4     1
n=5:             1   5  10  10   5     1
Therefore the third term in the expansion is 
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Answer: 80x³y⁴
        
             
        
        
        
2/9 of 50 = 11.1 
Ethan spends 11.1 hours feeding the animals every week
        
             
        
        
        
Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.
x^-150 / x^-144
Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.
x^(-150 + 144)
x^-6
Hope this helps!
 
        
                    
             
        
        
        
Answer:
Always
Step-by-step explanation:
They never intersect