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Solution - Simplification or other simple results

(4n3)3
(4n-3)^3

Step by Step Solution

Step  1  :

Multiplying Exponential Expressions :

 1.1    Multiply  (4n-3)  by  (4n-3) 

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (4n-3)  and the exponents are :
          1 , as  (4n-3)  is the same number as  (4n-3)1 
 and   1 , as  (4n-3)  is the same number as  (4n-3)1 
The product is therefore,  (4n-3)(1+1) = (4n-3)2 

Equation at the end of step  1  :

  (4n - 3)2 • (4n - 3)

Step  2  :

Multiplying Exponential Expressions :

 2.1    Multiply  (4n-3)2   by  (4n-3) 

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (4n-3)  and the exponents are :
          2
 and   1 , as  (4n-3)  is the same number as  (4n-3)1 
The product is therefore,  (4n-3)(2+1) = (4n-3)3 

Final result :

  (4n - 3)3

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