Question

Ajuda em exercício de matemática :

1) Resolva :

a)-3/4 : (-2/7) : (-3/5) =
b) 1/3 . 2/5 : (-1/2) =

2) Calcule e simplifique se possível :

a) (-1/3)² =
b) Raiz quadrada de 4/9 =
c) (-4/5)³ =
d) (10/25)¹ =
e) (7/4) elevado a 0 =
f) Raiz cúbica 3 de 8/27 =

Answer 1

1 

a )

$\frac{- \frac{3}{4} }{- \frac{2}{7} } = -\frac{3}{4} .- \frac{7}{2} = \frac{21}{8}$

$\frac{ \frac{21}{8} }{- \frac{3}{5} } = \frac{21}{8} .- \frac{5}{3} = -\frac{105^{\div3}}{24^{\div3}} =\boxed{- \frac{35}{8} }$

b )

$\frac{ \frac{1}{3} . \frac{2}{5} }{- \frac{1}{2} } = \frac{ \frac{2}{15} }{- \frac{1}{2} } = \frac{2}{15} .- \frac{2}{1} =\boxed{- \frac{4}{15} }$

2 
a)

$(- \frac{1}{3} )^2= \frac{1}{9}$

b )

$\sqrt{ \frac{4}{9} } = \frac{2}{3}$

c )

$(- \frac{4}{5} )^3=- \frac{64}{125}$

d )

$\frac{10^{\div5}}{25^{\div5}} = \frac{2}{5}$

e )

$( \frac{7}{4} )^{0}=1$

f )

$\sqrt[3]{ \frac{8}{27} } = \frac{ \sqrt[3]{8} }{ \sqrt[3]{27} } = \frac{2}{3}$