Question

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Answer 1

$1) ( 2^{10} )^3:2^{33} = 2^{30-33}=2^{-3}=1/8=0,125 \ 2) frac{(7^{-7}-7^{-6})}{7-12} =frac{(7^{-6}*7^{-1}-7^{-6})}{-5}=frac{(7^{-6}(7^{-1}-1))}{-5} = \ frac{-6*7^{-6}}{7*5}= 1,2*7^{-7} \ 3)8 sqrt{3}*sqrt{2}* 2 sqrt{6} =16 sqrt{36}=96 \ 4) ( sqrt{86}+1)^2 = 87+2 sqrt{86} = 105,54.. \ 5) sqrt{24} ; 2 sqrt{8} ; 6 ; sqrt{8}+ sqrt{10} = textgreater \ sqrt{24} ; sqrt{32} ; sqrt{36} ; sqrt{35} = textgreater sqrt{24} textless sqrt{32} textless sqrt{35} textless sqrt{36}$
$6)8 ; 2 sqrt{14} ; 6 sqrt{2} = textgreater sqrt{64} ; sqrt{56}; sqrt{72} = textgreater \ sqrt{56} textgreater sqrt{64} textgreater sqrt{72} = textgreater 6 sqrt{2} ; 8 ; 2 sqrt{14}$