Question

(4a³b³) ³ : (-2a³b)³​

Answer 1

Решение и ответ:

$\displaystyle {\left( {4{a^3}{b^3}} \right)^3} \div {\left({-2{a^3}b} \right)^3}=\left( {{{\left( {{2^2}} \right)}^3} \cdot {a^{3 \cdot 3}} \cdot {b^{3 \cdot 3}}} \right) \div \left( {{{(-2)}^3} \cdot {a^{3 \cdot 3}} \cdot {b^3}} \right)=\left( {{2^6} \cdot {a^9}{b^9}} \right) \div \left( {{{(-2)}^3} \cdot {a^9} \cdot {b^3}} \right) =-{2^{6-3}} \cdot {a^{9-9}} \cdot {b^{9-3}}=-{2^3} \cdot {a^0} \cdot {b^6}=-8 \cdot 1 \cdot {b^6}=-8{b^6}$