Question

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

Answer 1

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.