3.3 hope this helps thanks 
 
        
             
        
        
        
Question:
Which is equivalent to  after it has been simplified completely?
 after it has been simplified completely?
Answer:

Step-by-step explanation:
Given

Required
Simplify
We start by splitting the square root

Replace 180 with 36 * 5

Further split the square roots


Replace power of x; 11 with 10 + 1

From laws of indices; 
So, we have


Further split the square roots

From laws of indices; 
So, we have



Rearrange Expression


From laws of indices; 
So, we have



<em>The expression can no longer be simplified</em>
Hence,  is equivalent to
 is equivalent to 
 
        
                    
             
        
        
        
Answer:
   d, e
Step-by-step explanation:
The applicable rules of exponents are ...
   (a^b)(a^c) = a^(b+c)
   a^-b = 1/a^b
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In this case, it means the product is ...
   (6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36
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The 6 without an exponent is equivalent to 6^1, an exponent of 1.
The sum of the exponents is -2.
Add the exponents to simplify the expression.
The value of the expression is 1/36.
An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).
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Only the last two choices, d and e, apply.
 
        
             
        
        
        
the answer is 34.83 I believe