Question

Помогите пожалуйста! алгебра

Answer 1

$\displaystyle\bf\\1)\\\\5^{-9} \cdot(5^{3} )^{-4} :5^{-19} =5^{-9} \cdot5^{3\cdot(-4)} :5^{-19} =\\\\\\=5^{-9} \cdot5^{-12} :5^{-19} =5^{-9+(-12)-(-19)} =5^{-2} \\\\neverno\\\\2)\\\\10^{6} \cdot5^{-6} \cdot2^{-9} =2^{6}\cdot 5^{6} \cdot5^{-6} \cdot2^{-9} =\\\\\\=2^{6+(-9)} \cdot 5^{6+(-6)} =2^{-3} \cdot 5^{0} =\frac{1}{8} \cdot 1=0,125\\\\neverno\\\\3)$

$\displaystyle\bf\\4^{-3} \cdot(4^{3} )^{-2} :2^{-19} =(2^{2})^{-3} \cdot[(2^{2}) ^{3} ]^{-2} :2^{-19} =\\\\\\=2^{-6}\cdot 2^{-12} :2^{-19} =2^{-6+(-12)-(-19)} =2\\\\verno$