Question

Помогите пожалуйста!!

Answer 1

${6}^{ - 3} = frac{1}{6 {}^{3} } \ 5 {}^{ - 4} = frac{1}{5 {}^{4} } \ 4 {}^{ - 5} = frac{1}{4 {}^{5} } \ 3 {}^{ - 6} = frac{1}{3 {}^{6} } \ 2 {}^{ - 7} = frac{1}{2 {}^{7} }$

$3 {}^{4} times 3 {}^{2} = 3 {}^{4 + 2} = 3 {}^{6} \ 3 {}^{4} times 3 {}^{ - 2} = 3 {}^{4 + ( - 2)} = 3 {}^{4 + 2} = 3 {}^{6} \ 3 {}^{ - 4} times 3 {}^{2} = 3 {}^{ - 4 + 2} = 3 {}^{ - 2} = frac{1}{3 {}^{2} } \ 3 {}^{ - 4} times 3 {}^{ - 2} = 3 {}^{ - 4 - 2} = 3 {}^{ - 6} \ 5 {}^{4} div {5}^{2} = 5 {}^{4 - 2} = 5 {}^{2} \ 5 {}^{4} div 5 {}^{ - 2} = 5 {}^{4 - ( - 2)} = 5 {}^{4 + 2} = 5 {}^{6} \ 5 {}^{ - 4} div 5 {}^{ 2} = 5 {}^{ - 4 - 2} = 5 {}^{ - 6} = frac{1}{5 {}^{6} } \ 5 {}^{ - 4} div 5 {}^{ - 2} = 5 { }^{- 4 - ( - 2)} = {5}^{ - 4 + 2} = {5}^{ - 2} = frac{1}{5 {}^{2} } \ (7 {}^{2} ) {}^{3} = 7 {}^{2 times 3} = 7 {}^{6} \ (7 {}^{2} ) {}^{3} = 7 {}^{ - 2 times 3} = 7 {}^{ - 6} \ (7 {}^{2} ) {}^{ - 3} = 7 {}^{2 times( - 3)} = 7 {}^{ - 6} \ (7 {}^{ - 2} ) {}^{ - 3} = 7 {}^{ - 2 times ( - 3)} = 7 {}^{6}$

$(1.25) {}^{3} times 8 {}^{3} = (1.25 times 8) {}^{3} = 10 {}^{3} = 1000 \ (0.25) {}^{5} times 4 {}^{5} = (0.25 times 4) {}^{5} = 1 {}^{5} = 1 \ (0.125) {}^{100} times 8 {}^{100} = (0.125 times 8) {}^{100} = 1 {}^{100} = 1 \ 25 {}^{2017} times ( - 0.04) {}^{2017} = ( - 0.04 times 25) {}^{2017} = ( - 1) {}^{2017} = - 1$

$(0.8) {}^{ - 3} times (12.5) {}^{ - 3} = (0.8 times 12.5) {}^{ - 3} = 10 {}^{ - 3} = frac{1}{10 {}^{3} } = frac{1}{1000} = 0.001 \ (2.5) {}^{ - 3} times (0.4) {}^{ - 3} = (2.5 times 0.4) {}^{ - 3} = 1 {}^{ - 3} = frac{1}{1 {}^{3} } = frac{1}{1} = 1 \ 100 {}^{ - 4} times ( - 0.001) {}^{ - 4} = ( - 0.001 times 100) {}^{ - 4} = ( - 0.1) {}^{ - 4} = (- frac{1}{10} ) {}^{ - 4} = ( - frac{10}{1} ) {}^{4} = 10000$

$frac{25 {}^{ - 3} }{(12.5) {}^{ - 3} } = ( frac{25}{12.5} ) {}^{ - 3} = ( frac{2}{1} ) {}^{ - 3} = ( frac{1}{2} ) {}^{3} = frac{1 {}^{3} }{2 {}^{3} } = frac{1}{8} = 0.125 \ frac{(13.5) { }^{ - 3} }{27 {}^{ - 3} } = ( frac{13.5}{27} ) {}^{ - 3} = ( frac{1}{2} ) {}^{ - 3} = (frac{2}{1} ) {}^{3} = 2 {}^{3} = 8$