Question

me ajudem estou com muita dificuldade

Answer 1

  16^3/4    :  2^4
    8^1/3       8^2

  (2^4)^3/4   x  (2^3)^2
 (2^3)^1/3        2^4
 
   2^3 x 2^6
   2^1x 2^4
 
 2^9  ==> 2^(9-5)  ==> 2^4 ==> 16
 2^5

Answer 2

$\frac{16^{\frac{3}{4}}}{8^{\frac{1}{3}}}\div\frac{2^4}{8^2}=\\ \\ \frac{(2^4)^{\frac{3}{4}}}{(2^3)^{\frac{1}{3}}}\div \frac{2^4}{(2^3)^2}=\\ \\ \frac{2^{4*\frac{3}{4}}}{2^{3*\frac{1}{3}}} \div \frac{2^4}{2^6}=\\ \\ \frac{2^3}{2} \div \frac{2^4}{2^6}=\\ \\ 4\div\frac{1}{4}=4*4=16$