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Question

How do you simplify (81)34?


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Solution

Step 1 : Find factors of 81.

81can be written as:

81=3×3×3×3

81=34

Step 2 : Simplify the required term.

(81)34=3434

Using the law of exponents

3434 can be written as 34×34. Thus,

(81)34=33

8134=27.

Hence, (81)34 can be simplified as 27.


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