Question

gente preciso para hj pfvvvvvvvvvvvvvvvvvvvvvv me ajuda​

Answer 1

Resposta:

Explicação passo a passo:

$a)$

$\frac{1}{5}+\frac{\sqrt{25} }{\sqrt{100} } =$

$\frac{1}{5}+\frac{5}{10} =$

$\frac{2}{10} +\frac{5}{10}=$

$\frac{7}{10}$

$b)$

$\frac{1}{27}-\sqrt[3]{\frac{1}{27} } =$

$\frac{1}{27}-\frac{\sqrt[3]{1} }{\sqrt[3]{27} } =$

$\frac{1}{27} -\frac{1}{3}=$

$\frac{1}{27}-\frac{9}{27} =$

$-\frac{8}{27}$

$c)$

$(-2)^{-2} =\frac{1}{(-2)^{2} } =\frac{1}{4}$

$\sqrt[4]{\frac{16}{81} } =\frac{\sqrt[4]{16} }{\sqrt[4]{81} } =\frac{2}{3}$

$Portanto...$

$\frac{1}{4} -(\frac{2}{3}) ^{-2} =$

$\frac{1}{4}-(\frac{3}{2}) ^{2} =$

$\frac{1}{4}-\frac{9}{4} =$

$-\frac{8}{4} =-2$

$d)$

$(-3)^{-3} =\frac{1}{(-3)^{3} } =-\frac{1}{27}$

$\sqrt{\frac{144}{225} } =\frac{\sqrt{144} }{\sqrt{225} } =\frac{12}{15} =\frac{4}{5}$

$(-\frac{5}{3}) ^{-2} =(-\frac{3}{5}) ^{2} =\frac{9}{25}$

$Portanto...$

$-\frac{1}{27} -\frac{4}{5} +\frac{9}{25} =$

$-\frac{1}{27}-\frac{20}{25}+\frac{9}{25} =$

$-\frac{1}{27}-\frac{11}{25}=$

$mmc(25;27)=675$

$-\frac{25}{675} -\frac{27}{675} =$

$-\frac{52}{675}$

$e)$

$\sqrt{144}=12$

$\sqrt[5]{-243} =\sqrt[5]{(-3)^{5} } =-3$

$\sqrt[4]{625}=\sqrt[4]{5^{4} } =5$

$Portanto...$

$12-(-3)-5=$

$12+3-5=$

$15-5=$

$10$

Espero ter ajudado!

Deu muito trabalho mas creio que valeu a pena!

Jean318

Answer 2

Explicação passo-a-passo:

2–

$a) \frac{1}{5} + ( \sqrt{ \frac{25}{100}) } = \frac{1}{5} + \frac{5}{10} = \frac{2 + 5}{10} = \frac{7}{10}$

$b( \frac{1}{3} ) {}^{3} - ( \sqrt[3]{ \frac{1}{27} )} = \frac{1}{27} - ( \frac{ \sqrt[3]{1} }{ \sqrt[3]{27} } ) = \frac{1}{27} - \frac{1}{3} = \frac{1 - 9}{27} = \frac{ - 8}{27}$

$c) \: \: ( - 2) {}^{ - 2} - ( \sqrt[4]{ \frac{16}{81} } ) {}^{ - 2}$

$( - \frac{1}{2} ) {}^{2} - \sqrt[4]{( \frac{81}{16}) {}^{2} } = \frac{1}{4} - \sqrt{ \frac{81 = }{16} } = \frac{1}{4} - \frac{9}{4} = \frac{1 - 9}{4} = \frac{ - 8}{4} = - 2$

$d) \: \: ( - 3) {}^{ - 3} - ( \sqrt{ \frac{144}{225} } + ( - \frac{5}{3} ) {}^{ - 2} =$

$( - \frac{1}{3} ) {}^{3} - \frac{12}{15} + ( \frac{ - 3}{5} ) {}^{2} = \frac{ - 1}{27} - \frac{4}{5} + \frac{9}{25} =$

m.m.c

27, 5, 25 : 3

9, 5, 25 : 3

3, 5, 25 : 3

1, 5, 25 : 5

1, 1 5 : 5

1, 1, 1 m.m.c=3³x5²= 27x25=675

$\frac{ - 25 - 540 + 243}{675} = \frac{ - 322}{675}$

$e) \sqrt{144} - \sqrt[5]{ - 243} - \sqrt[4]{625} = 12 - ( - 3) - 5 = 12 + 3 - 5 = 10$