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Q.

Simplify and write the following expression in exponential form.


9 8 × x 2 5 (27) 4 × x 3 2


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a

(3x) 4

b

729

c

81

d

3x 2  

answer is A.

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Detailed Solution

Given expression is 9 8 × x 2 5 (27) 4 × x 3 2 .
Using the exponential laws, a m n = a mn and a m ÷ a n = a m−n .
Applying a m n = a mn ,
Question ImageApplying a m ÷ a n = a m−n ,
= 3 16−12 × x 10−6 = 3 4 × x 4 = (3x) 4
Thus, the value of expression 9 8 × x 2 5 (27) 4 × x 3 2 is (3x) 4 .
Therefore, the correct option is 1.
 
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