Question

решите. Заранее спасибо!!!!!!!

Answer 1

$1) \ {3}^{7} times {3}^{ - 6} = frac{ {3}^{7} }{ {3}^{6} } = 3 \ {7}^{ - 9} times {7}^{8} = frac{ {7}^{8} }{ {7}^{9} } = frac{1}{7}$

$2) \ {2}^{5} div {2}^{6} = {2}^{ - 1} = frac{1}{2} \ 5 div {5}^{ - 2} = {5}^{1 - ( - 2)} = {5}^{3} = 125$

$3) \ {( {3}^{2}) }^{ - 1} = {3}^{ - 2} = frac{1}{ {3}^{2} } = frac{1}{9} \ {( ({ frac{1}{2}) }^{ - 3} )}^{ - 2} = {( frac{1}{2} })^{6} = frac{1}{64}$

$4) \ - 17 times {34}^{ - 1} = - frac{17}{34} = - frac{ 1}{2} \ - 10 times {2}^{ - 3} = - frac{10}{ {2}^{3} } = - frac{10}{8} = - 1 frac{1}{4} = - 1.25$

$5) \ 32 times {2}^{ - 6} = frac{32}{ {2}^{6} } = frac{32}{64} = frac{1}{2} = 0.5 \ 27 times ( { {3}^{ - 2}) }^{2} = 27 times {3}^{ - 4} = frac{ {3}^{3} }{ {3}^{4} } = frac{1}{3}$

$6) \ {81}^{ - 2} times {27}^{2} = frac{ {27}^{2} }{ {81}^{2} } = frac{ {3}^{3} }{ {3}^{4} } = frac{1}{3} \ {16}^{ - 5} div {8}^{ - 6} = frac{1}{ {16}^{5} } div frac{1}{ {8}^{6} } = frac{ {8}^{6} }{ {16}^{5} } = frac{( {2}^{3} ) ^{6} }{( { {2}^{4} )}^{5} } = frac{ {2}^{18} }{ {2}^{20} } = {2}^{ - 2} = frac{1}{4} = 0.25$