Answer: 30%
Step-by-step explanation:
Percent error = 
Estimated number of games win this year = 7
Actual number of games won = 10
Now ,   the percent error of Doug’s estimate = 
Hence, the percent error of Doug’s estimate = 30%
 
        
                    
             
        
        
        
<u>Part a)</u>
Given the expression

Apply exponent rule:    
 ∵
     ∵ 
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27
                              
Factor out the common term:   27m³n
                                
      
Therefore,

<u>Part B)</u>
Given the expression

Apply exponent rule:    

Rewrite as
                                                
Factor out common term 5y²x²z
                                                 
Therefore, 

 
        
             
        
        
        
Answer:259
Step-by-step explanation:
Its summation of 6^i-1 for values of I = 1,2,3 and 4
= 6^0 + 6^1 +6^2 +6^3
=259
 
        
                    
             
        
        
        
Answer:
c
you subtract the exponents when dividing numbers with the same base