Question

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Answer 1

$1.102 \ 1) (x^{-1}y^{-2})^{-2} = ( frac{1}{xy^2} )^{-2}= (xy^2)^2=x^2y^2; \ 2) ( frac{1}{2}a^{-3}b^{-3} )^{-2} = ( frac{1}{2}* frac{1}{a^3} *b^3 )^{-2}=( frac{b^3}{2a^3} )^{-2}= ( frac{2a^3}{b^3} )^2= frac{4a^6}{b^6} ; \ 3) (0,25m^{-2}n^2)^{-3}= ( frac{1}{4} * frac{1}{m^2}*n^2 )^{-3}=( frac{n^2}{4m^2} )^{-3}=( frac{4m^2}{n^2} )^3= frac{64m^6}{n^6}; \ 4) (a^3*b^{-1})^2=(a^3* frac{1}{b} )^2=( frac{a^3}{b} )^2= frac{a^6}{b^2};$
$5) (-3p^3*q^{-1})^2=(-3p^3* frac{1}{q} )^2=(- frac{3p}{q} )^2= frac{9p^6}{q^2}; \ 6) ( frac{1}{3}x^{-3}*y^2 )^3=( frac{1}{3} * frac{1}{x^3}*y^2 )^3=( frac{y^2}{3x^3} )^3= frac{y^6}{27x^9} ;$