Verified answer

Resposta:

a) [tex]\frac{7}{42}[/tex]

b) [tex]\frac{25}{1}[/tex]

c)  [tex](-\frac{.10253}{2000} )[/tex]

Explicação passo a passo:

a) [tex](-\frac{1}{2} + \frac{2}{3} ) * (2-\frac{1}{4} )\\[/tex]

[tex](-\frac{3}{6} + \frac{4}{6} )[/tex]

[tex]\frac{1}{6}[/tex]

[tex]\frac{2}{1} - \frac{1}{4}[/tex]

[tex]\frac{8}{4} - \frac{1}{4}[/tex]

[tex]\frac{7}{4}[/tex]

[tex]\frac{1}{6} * \frac{7}{4}[/tex]

[tex]\frac{7}{42}[/tex]

b) [tex]2* \sqrt{100} + 3 * \sqrt{\frac{25}{9}}[/tex]

[tex]2*10+3*\frac{5}{3} \\2*10 + 5\\20 + 5\\25\\\\\frac{25}{1}[/tex]

c) [tex](-\frac{2}{5})^{3} - (\frac{2}{3})^{-4}[/tex]

[tex](-\frac{8}{125}) - (\frac{81}{16} )[/tex]

[tex](-\frac{128}{2000} ) - (\frac{10125}{2000})[/tex]

[tex](-\frac{10253}{2000} )[/tex]