Question

(Saresp) Determine o valor das expressão

Answer 1

Explicação passo-a-passo:

a)

$\sqrt{1+\frac{5}{4} } \times(-{3\over2})^2\div[({3-2\over6})\times\sqrt{{9\over16}} ]=\\ \\ \sqrt{{4+5\over4}} \times(+{9\over4})\div[({1\over6})\times{3\over4}]=\\ \\ \sqrt{{9\over4}} \times({9\over4})\div({{3\over24})=$

${3\over2}\times{9\over4}\div({3\over24})=\\ \\ {27\over8}\times{24\over3}=\\ \\ cancelando\\ \\ {\not27^9\over\not8}\times{\not24^3\over\not3}=9\times3=27$

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b)

$(16)\times({3-2\over4})^3-[-{3\over8}+{5\over3}]=\\ \\ 16\times({1\over4})^3-[{-9+40\over24}]=\\ \\ 16\times({1\over64})-({31\over24})=\\ \\ \not16^1\times{1\over\not64_4}-{31\over24}=\\ \\ {1\over4}-{31\over24}=\\ \\ {6-31\over24}=\fbox{ -{25\over24} }$