Question

Решите (0,001)^-2: 10^5 (0.04)^-2: (1/5)^-3 7×(1/3)^-2-(1/2)^-4 (0.43)^0-5×2^-3+(1/6)^-2

Answer 1

$0,001^{-2}:10^5 = ((10^{-3} )^{-2} : 10^5 = 10^6: 10^5 = 10^{6-5}=10^1 = 10$

$(0,04)^{-2} :( \frac{1}{5} )^{-3}=( \frac{4}{100} )^{-2} : 5^3 = ( \frac{100}{4} )^2 : 5^3 = 25^2 : 5^3=(5^2)^2 : 5^3 =$$5^4 : 5^3 = 5^{4-3}=5^2 = 5$

$7*( \frac{1}{3} )^{-2}-( \frac{1}{2} )^{-4}= 7*3^2-2^4=7*9-16=63-16=47$

$(0.43)^0 -5*2^{-3}+( \frac{1}{6} )^{-2} = 1-5* (\frac{1}{2}) ^3+6^2=1- \frac{5}{8}+36=36 \frac{3}{8}$$=36,375$