Respuesta :

SOLUTION

We want to find the simplest form of

[tex]16^{\frac{3}{4}}[/tex]

This becomes

[tex]\begin{gathered} 16^{\frac{3}{4}} \\ =(\sqrt[4]{16})^3 \\ =2^3=2\times2\times2 \\ =8 \end{gathered}[/tex]

Hence the answer is 8.

Note that the denominator of the exponent becomes root and the numerator becomes power