Question

Determinar el valor de cada expresion ​

Answer 1

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

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

15. $\sqrt{10^{14} }$ = $10^{\frac{14}{2} }$ = $10^{7}$ = 10000000

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

        = $(\frac{1}{25} )(4\sqrt{2} ) = \frac{4\sqrt{2}}{25}$