27^(4/3)+4^(3/2) can be simplified using roots.  
The cube root of 27 is 3 and the square root of 4 is 2.  This removes the denominators from the expression.  The expression is now 3^4+2^3.
Simplify this and you get 81+8=89
        
             
        
        
        
The equation given in the question is
13 + (w/7) = - 18
(91 + w) / 7 = - 18
91 + w = - 126
w = - 126 - 91
    = - 217
I hope that the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.
        
                    
             
        
        
        
Answer:  see proof below
<u>Step-by-step explanation:</u>

Use the following Identities:
sec Ф = 1/cos Ф
cos² Ф + sin² Ф = 1
<u>Proof LHS → RHS</u>






 
        
             
        
        
        
The family would buy the three pairs of shoes for $26.31 because you have to divide $52.62 in half since they bought half the amount of pairs of shoes that are given in the sale.