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Q.

What is the value of the expression 34 x 3 y 3 z 3 ÷51x y 2 z 3  ?


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a

4 3 x 2 y  

b

2 5 x 2 y  

c

3 2 x 2 y  

d

2 3 x 2 y   

answer is D.

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Detailed Solution


The given expression is 34 x 3 y 3 z 3 ÷51x y 2 z 3  .
Simplifying the given expression in numerator and denominator form, we get,
34 x 3 y 3 z 3 ÷51x y 2 z 3 = 34 x 3 y 3 z 3 51x y 2 z 3  
Divide the monomial in the numerator by the monomial in the denominator using the formula x m x n = x m−n ,  
34 x 3 y 3 z 3 51x y 2 z 3 = 34 51 × x 3 y 3 z 3 x y 2 z 3 = 2 3 x 2 y  
Therefore, on solving 34 x 3 y 3 z 3 ÷51x y 2 z 3 ,   the result is 2 3 x 2 y.  
Hence, option 4 is correct.
 
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What is the value of the expression 34 x 3 y 3 z 3 ÷51x y 2 z 3  ?