Question

Alguém pode me ajudar a entender a questões C, D e E

Answer 1

$c) \dfrac{2^3.10.5^3.2^4.3^4}{2^8.3.5^2.10} = \dfrac{2^7.3^4.5^3.10}{2^8.3.5^2.10} = \dfrac{3^3.5}{2} = \dfrac{27.5}{2}= \dfrac{135}{2} \\\\\\d) \dfrac{10^4.8^{-2}}{10^{-1}.2^4}= \dfrac{10^4.2^{-6}}{10^{-1}.2^4} =\dfrac{10^5}{2^{10}}= \dfrac{(2.5)^5}{2^{10}} = \dfrac{2^5.5^5}{2^{10}} = \dfrac{5^5}{2^5} = \dfrac{3125}{32} \\\\\\e)3^{ \frac{5}{3}+ \frac{7}{2} -\frac{1}{6} }=3^{ \frac{10+21-1}{6} }=3^{ \frac{30}{6} }=3^5=243$