question_answer 6)

Simplify: (i) \[2\times {{10}^{3}}\]                               (ii) \[{{7}^{2}}\times {{2}^{2}}\]                 (iii) \[{{2}^{3}}\times 5\]                                (iv) \[3\times {{4}^{4}}\] (v) \[0\times {{10}^{2}}\]                              (vi) \[{{5}^{2}}\times {{3}^{3}}\]                                (vii) \[{{2}^{4}}\times {{3}^{2}}\]                           (viii) \[{{3}^{2}}\times {{10}^{4}}\]

Answer:

                (i) \[2\times {{10}^{3}}=2\times 10\times 10\times 10=2000\]                 (ii) \[{{7}^{2}}\times {{2}^{2}}=7\times 7\times 2\times 2=196\]                 (iii) \[{{2}^{3}}\times 5=2\times 2\times 2\times 5=40\]                 (iv) \[3\times {{4}^{4}}=3\times 4\times 4\times 4\times 4=768\]                 (v) \[0\times {{10}^{2}}=0\times 10\times 10=0\] (vi) \[{{5}^{2}}\times {{3}^{3}}=5\times 5\times 3\times 3\times 3=675\] (vii) \[{{2}^{4}}\times {{3}^{2}}=2\times 2\times 2\times 2\times 3\times 3\times 3=144\] (viii) \[{{3}^{2}}\times {{10}^{4}}=3\times 3\times 10\times 10\times 10\times 10\] \[=90000\]