Answer: Option a.
Step-by-step explanation:
To solve this problem you must appply the proccedure shown below:
- You need to descompose 81 into its prime factors, as following:
[tex]81=3*3*3*3=3^4[/tex]
- Now, you can rewrite it as following:
[tex](3^4)^{\frac{3}{4}}[/tex]
- You must keep on mind the Power of a power rule, which is:
[tex](a^n)^m=a^{nm}[/tex]
- Therefore, you can simplify as following:
[tex]3^{\frac{4*3}{4}}=3^3=27[/tex]
Then, the answer is the option a.
