A) \[{{({{2}^{3}})}^{2}}\] and \[{{({{3}^{2}})}^{4}}\] are not the same
B) \[{{({{2}^{3}})}^{2}}\] and \[{{({{3}^{4}})}^{2}}\] are the same
C) \[{{({{6}^{49}})}^{2}}={{6}^{492}}\]
D) \[{{({{8}^{7}})}^{3}}={{8}^{10}}\]
Correct Answer: A
Solution :
(a) \[{{({{2}^{3}})}^{2}}={{2}^{6}}\]and \[{{({{3}^{2}})}^{4}}={{3}^{8}}\]now\[{{2}^{6}}\ne {{3}^{8}}\] \[\therefore \] not same and hence correct statement.
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