Question

o inverso da quarta potencia de 1,5 é igual a :Opçoes:A: -1/20B: -1/16C: 16/81D: 1/64

Answer 1

$\mathrm{1,5=\dfrac{3}{2}\ \to\ \bigg(\dfrac{3}{2}\bigg)^4=\dfrac{3^4}{2^4}=\dfrac{3.3.3.3}{2.2.2.2}=\dfrac{81}{16}}\\\\\\ \mathrm{\bigg(\dfrac{81}{16}\bigg)^{-1}=\boxed{\mathbf{\dfrac{16}{81}}}\ \to\ Alternativa\ D.}$