Question

Boa tarde. Alguém pode me ajudar a resolver essas questões?

Answer 1

1) Efetue:

 8- [ -(-6 +4) + (3-2-1)]=
 8- [ -(-2) + 0] = 
 8- [ 2] = 8 - 2 = 6
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5) $y= ( \frac{4-(- \frac{1}{2 } ) ^{2} }{3-(- \frac{3}{2} ) ^{2} } ) ^{-1} =$
    $y= \frac{3-(- \frac{3}{2}) ^{2} }{4-(- \frac{1}{2} ) ^{2} }$
    $\frac{3- \frac{9}{4} }{4- \frac{1}{4} } =$
    $\frac{ \frac{3}{4} }{ \frac{15}{4} } = \frac{3}{4} : \frac{15}{4} = \frac{3}{4} . \frac{4}{15} = \frac{12}{60} = \frac{1}{5}$
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6)  Simplifique
    $\frac{(a ^{5} .b ^{3} ) ^{2} }{(a ^{-4} .b) ^{-3} } = \frac{ a^{10} .b ^{6} }{a ^{12}.b ^{-3} } = (a^{10} . b^{6} ):( a^{12} . b^{-3}) =$
 $y= a^{-2} . b^{9}$
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7) $( \frac{3}{2}) ^{-1} :( \frac{2}{3}) ^{ \frac{1}{2} } =( \frac{2}{3}) ^{1} :( \frac{2}{3}) ^{ \frac{1}{2} } =( \frac{2}{3} ) ^{ \frac{1}{2} } = \sqrt[]{ \frac{2}{3} }$