Question

reduza a uma potência [(2/5)³]^-⁴.(2/5)^6 ÷ (2/5)^-5

Answer 1

vamos lá...

$( \frac{2}{5} )^3]^{-4}.( \frac{2}{5} )^6\div( \frac{2}{5} )^{-5}= \\ \\ ( \frac{2}{5} )^{-12}.( \frac{2}{5} )^6\div( \frac{2}{5} )^{-5}= \\ \\ ( \frac{2}{5} )^{-12+6}\div( \frac{2}{5} )^{-5}= \\ \\ ( \frac{2}{5} )^{-6-(-5)}= \\ \\ ( \frac{2}{5} )^{-6+5}=( \frac{2}{5} )^{-1}= \frac{5}{2}$