Question

Напишите ответ с пояснением
б)(-5)^-2 в) (4/9)^-2 г) (0,1)^-4

Answer 1

$\displaystyle(-5)^{-2} =\frac{1}{(-5)^2} =\frac{1}{5^2} =\frac{1}{25} ~;\\\bigg(\frac{4}{9} \bigg)^{-2} =\bigg(\frac{9}{4} \bigg)^2=\frac{9^2}{4^2} =\frac{81}{16} =5\frac{1}{16} ~;\\(0,1)^{-4} =\bigg(\frac{1}{10} \bigg)^{-4} =\bigg(\frac{10}{1} \bigg)^4=\frac{10^4}{1^4} =\frac{10000}{1} =10000.$