解説
\( \displaystyle -4ab^3\times 7b=-28ab^4 \)
\( \displaystyle 8ab^2\div (-2ab)^2 \times 3a=\frac{8ab^2\times 3a}{4a^2b^2} \)
\( \displaystyle =\frac{24a^2b^2}{4a^2b^2}=6 \)
\( \displaystyle -a^2b \div 2b \times (-4a) =\frac{-a^2b \times (-4a)}{2b} \)
\( \displaystyle =\frac{4a^3b}{2b}=2a^3 \)
\( \displaystyle 6a^2b^3 \div 3a^2b=\frac{6a^2b^3}{3a^2b}=2b^2 \)
\( \displaystyle (-2a)^3\times a \div (-2a^4)=\frac{-8a^3\times a}{-2a^4} \)
\( \displaystyle =\frac{-8a^4}{-2a^4}=4 \)
\( \displaystyle 6a^2b\div (-3ab)\times (-2a)=\frac{6a^2b\times (-2a)}{-3ab} \)
\( \displaystyle =\frac{-12a^3b}{-3ab}=4a^2 \)
\( \displaystyle 4a^3 \times (-a)^4\div 2a^2=\frac{4a^3\times a^4}{2a^2} \)
\( \displaystyle =\frac{4a^7}{2a^2}=2a^5 \)
\( \displaystyle 2ab^2\div ab=\frac{2ab^2}{ab}=2b \)
\( \displaystyle (-ab^2)^3 \div (ab)^2=\frac{-a^3b^6}{a^2b^2}=-ab^4 \)
\( \displaystyle 12ab^2\times 2ab \div 3b^2=\frac{12ab^2\times 2ab}{3b^2} \)
\( \displaystyle =\frac{24a^2b^3}{3b^2}=8a^2b \)
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