Question

Qual o valor de (1/125) -( 512)^0,222

Answer 1

$\ \ \ \frac{1}{125} -512^{0,222...}= \frac{1}{125} -512^{ \frac{2}{9}}=\frac{1}{125} -\sqrt[9]{512^2}=\frac{1}{125} -\sqrt[9]{(2^9)^2}\\ \\=\frac{1}{125} -\sqrt[9]{(2^2)^9}=\frac{1}{125} -2^2=\frac{1}{125} -4=\frac{1}{125} -\frac{500}{125} =\frac{1-500}{125}=-\frac{499}{125}$