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81^3/4= a. 27 b. 9 c. 1/27

User Alex Wulff
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1 Answer

6 votes

Answer: Option a.

Explanation:

To solve this problem you must appply the proccedure shown below:

- You need to descompose 81 into its prime factors, as following:


81=3*3*3*3=3^4

- Now, you can rewrite it as following:


(3^4)^{(3)/(4)}

- You must keep on mind the Power of a power rule, which is:


(a^n)^m=a^(nm)

- Therefore, you can simplify as following:


3^{(4*3)/(4)}=3^3=27

Then, the answer is the option a.

User Ali BENALI
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