Respuesta :

Notice that:

[tex]81=3^4.^{}[/tex]

Recall that the following property of exponents:

[tex](a^b)^e=a^{b\times e}.[/tex]

Therefore:

[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^3.[/tex]

Answer:

[tex]81^{\frac{3}{4}}=27.[/tex]