question_answer 1)

Simplify : (i) \[{{(-4)}^{3}}\]                             (ii) \[(-3)\times {{(-2)}^{3}}\]                      (iii) \[{{(-3)}^{2}}\times {{(-5)}^{2}}\]                (iv) \[{{(-2)}^{3}}\times {{(-10)}^{3}}\]

Answer:

                (i) \[{{(-4)}^{3}}=(-4)\times (-4)\times (-4)=-64\]                 (ii) \[(-3)\times {{(-2)}^{3}}=(-3)\times (-2)\times (-2)\times (-2)\] \[=24\]                 (iii) \[{{(-3)}^{2}}\times {{(-5)}^{2}}=(-3)\times (-3)\times (-5)\times (-5)\] \[=-225\]                 (iv) \[{{(-2)}^{3}}\times {{(-10)}^{3}}=(-2)\times (-2)\times (-2)\times (-10)\]\[\times (-10)\times (-10)\] \[=8000\].