A) \[{{4}^{200}}\]
B) 5100
C) 2250
D) 2150
Correct Answer: A
Solution :
(a): (1) \[{{2}^{250}}={{\left( {{2}^{5}} \right)}^{50}}={{32}^{50}};\] (2) \[{{3}^{150}}={{\left( {{3}^{3}} \right)}^{50}}={{\left( 27 \right)}^{50}}\] (3) \[{{3}^{100}}={{\left( {{5}^{2}} \right)}^{50}}={{\left( 25 \right)}^{50}};\] (4) \[{{4}^{200}}={{\left( {{4}^{4}} \right)}^{50}}={{\left( 256 \right)}^{50}}\] Hence, \[{{4}^{200}}\] is the greatest.You need to login to perform this action.
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