Question

calcule as seguintes potências com expoente negativo:
a)
${10 }^{ - 2}$
b)
${( - 3)}^{ - 3}$
c)
$(- \frac{5}{8} ) ^{ - 2}$
d)
$( + \frac{2}{3}) ^{ - 2}$
e)
$( - \frac{3}{2} )^{ - 3}$
f)
$( + \frac{1}{2} )^{ - 5}$
​

Answer 1

Resposta:

$a)\\ 10^{-2}={1\over10^2}={1\over100}\\ \\ b)\\ (-3)^{-3}=(-{1\over3})^3=-{1\over27}\\ \\ c)\\ (-{5\over8})^{-2}=(-{8\over5})^2=+{64\over25}\\ \\ d)\\ (+{2\over3})^{-2}=(+{3\over2})^2=+{9\over4}\\ \\ e)\\ (-{3\over2})^{-3}=(-{2\over3})^{3}=-{8\over27}\\ \\ f)\\ (+{1\over2})^{-5}=(+{2\over1})^5=+32$