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Q.

Write 9×9×9×9×9 in exponential form with base 3.


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a

3 17

b

3 5

c

3 8

d

3 10  

answer is D.

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Detailed Solution

Given expression is 9×9×9×9×9 .
The exponential form is a shortcut for writing repeated multiplications by the same number.
Note that 9 is a factor 5 times.
= 9×9×9×9×9 = 9 5 Exponential form with the base 3 ,  = 3 2 5 = 3 10
Thus, the value of expression 9×9×9×9×9 is 3 10 .
Therefore, the correct option is 4.
 
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Write 9×9×9×9×9 in exponential form with base 3.