Question

Determinar el valor de cada expresion ​

Answer 1

Verified answer

13. [tex](0,0016)^{-1/4}[/tex]  =  [tex]\frac{16}{10000}^{-1/4}[/tex] =  [tex]\frac{10000}{16} ^{1/4}[/tex] = [tex]\sqrt[4]{\frac{10000}{16} }[/tex] = [tex]\frac{10}{2}[/tex] = 5

14. [tex](-0,00243)^{1/5}[/tex] = [tex]\frac{-243}{100000} ^{1/5}[/tex] = [tex]\sqrt[5]{\frac{-243}{100000} }[/tex] = [tex]\frac{-3}{10}[/tex] = -0,3

15. [tex]\sqrt{10^{14} }[/tex] = [tex]10^{\frac{14}{2} }[/tex] = [tex]10^{7}[/tex] = 10000000

16. [tex](\sqrt[8]{5^{-16} } )(\sqrt[8]{32^{4} } )[/tex] = [tex](5^{\frac{-16}{8} } )(32^{\frac{4}{8} } ) = (5^{-2} )(32^{\frac{1}{2} } )[/tex] = [tex](\frac{1}{5^{2} } )(\sqrt{32} )[/tex] = [tex](\frac{1}{25} )(\sqrt{16*2} )[/tex]

        = [tex](\frac{1}{25} )(4\sqrt{2} ) = \frac{4\sqrt{2}}{25}[/tex]