5. Resolva as expressões em cada item. a) (2^2cdot 5^2):4^1 c) 4^-3+(-(1)/(2))^5 e) (1+(4)/(5))^3-((5)/(3))^-4 b) 16^3:(-8)^4+15^0-(1)^11 d) ((8)/(3))^-2+((9)/(4))^3 verdadeira.

a) $(2^{2}\cdot 5^{2}):4^{1} = (4 \cdot 25) : 4 = 100 : 4 = 25$<br /><br />b) $16^{3}:(-8)^{4}+15^{0}-(1)^{11} = 4096 : 4096 + 1 - 1 = 1 + 1 - 1 = 1$<br /><br />c) $4^{-3}+(-\frac {1}{2})^{5} = \frac{1}{64} - \frac{1}{32} = \frac{1}{64} - \frac{2}{64} = -\frac{1}{64}$<br /><br />d) $(\frac {8}{3})^{-2}+(\frac {9}{4})^{3} = \frac{9}{64} + \frac{729}{64} = \frac{738}{64} = \frac{369}{32}$<br /><br />e) $(1+\frac {4}{5})^{3}-(\frac {5}{3})^{-4} = (\frac{9}{5})^{3} - \frac{81}{625} = \frac{729}{125} - \frac{81}{625} = \frac{1458}{625} - \frac{81}{625} = \frac{1377}{625} = \frac{459}{125}$