Question

14 Encontre o valor das expressões a seguir
a) 3^-2
B : 10^-3
C : (-5)^-4
D: (-7)^-3
E : (4/5)^-3
F : 0,4^-2
G : 2/7^-3
H : (0,555)^-2

Answer 1

Resposta:

$a) {3}^{ - 2} = \frac{1}{ {3}^{2} } = \frac{1}{9} \\ b) {10}^{ - 3} = \frac{1}{ {10}^{3} } = \frac{1}{1000} \\ c) ({ - 5})^{ - 4} = \frac{1}{ {( - 5)}^{ 4} } = \frac{1}{625} \\ d) { - 7}^{ - 3} = \frac{1}{ {( - 7)}^{3} } = \frac{1}{ - 343} \\ e) ({ \frac{4}{5} })^{ - 3} = ( \frac{5}{ {4}})^{3} = \frac{125}{64} \\ f){0.4}^{ - 2} = ( \frac{4}{10} )^{ - 2} = ( \frac{10}{4})^{2} = \frac{100}{16} = \frac{25}{4} \\ g)( \frac{2}{7})^{ - 3} = ( { \frac{7}{2} })^{3} = \frac{343}{8} \\ h)0.555^{ - 2} = ({ \frac{555}{1000} })^{ - 2} =( \frac{1000}{555})^{2} = ( \frac{200}{111})^{2} = \frac{40000}{12321}$