Question

Замените дробью степень с целым отрицательным показателем (25)^-1 (0,125)^-2 (-2,5)^-2 (2/5)^-1 (2 1/3)^-3 (-2/7)^-2

Answer 1

1) $25^{-1} = \frac{1}{25};$

2) $0.125^{-2} = \frac{1}{0.125^2} = \frac{1}{0,015625} = \frac{1}{1} : \frac{15625}{1000000}=\frac{1}{1} * \frac{1000000}{15625} = \frac{1000000}{15625}=64;$

3) $(-2.5)^{-2} = \frac{1}{2.5}=\frac{1}{1} : 2\frac{5}{10} = \frac{1}{1} : 2\frac{1}{2} = \frac{1}{1} : \frac{5}{2}=\frac{1}{1} * \frac{2}{5}=\frac{2}{5};$

4) $(\frac{2}{5})^{-1} = \frac{1}{\frac{2}{5} }= \frac{5}{2} = 2\frac{1}{2};$

5) $(2\frac{1}{3})^{-3} = (\frac{7}{3})^{-3} = (\frac{3}{7})^3 = \frac{3^3}{7^3} = \frac{27}{343};$

6) $(-\frac{2}{7})^{-2} = \frac{7^2}{2^2} = \frac{49}{4} = 12\frac{1}{4};$