Question

ex 1. 2. 3. Și 4 va rog

Answer 1

1) 25^{27} < 25^{28}

26^{123} < 26^{1234}

2011^{3} < 2011^{5}

393^{23} < 393^{100}  

125^{125} < 125^{126}

111^{44} > 111^{33}

2) 15^{27} < 17^{27}

26^{123} > 24^{123}

2011^{14} > 2010^{14}

989^{123} > 987^{123}

25^{125} < 225^{125}

1010^{201} < 1011^{201}

3) 5^{87} > 5^{72} ( 25^{36} = (5^{2})^{36} = 5^{72} - așa se face la toate )

2^{666} > 2^{366}

2^{65} < 2^{80}

5^{102} < 5^{150}    

6^{448} > 6^{363}

3^{909} < 3^{1004}

4)9^{11} > 8^{11} ( 3^{22} = (3^{2})^{11} = 9^{11} - așa se face la toate )

64^{11} < 81^{11}

121^{11} > 22^{11}

8^{13} < 9^{13}

125^{15} > 36^{15}

225^{45} > 216^{45}