Question

Ajutor!!!!!Repede!!!!!La exercitiul 7

Answer 1

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Answer 2

[tex]\it 2^{30^2} =2^{900};\ \ (32^4)^{100} =32^{400} =(2^5)^{400}=2^{2000} \\\;\\ x = (2^{900}\cdot2^{600}+2^{2000}:2^{500})\cdot 2 = (2^{1500}+2^{1500})\cdot2 = \\\;\\ =2\cdot2^{1500}\cdot2 = 2^{1+1500+1} = 2^{1502} = (2^{751})^2[/tex]
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[tex]\it 9^{1000} = (3^2)^{1000} = 3^{2000} \\\;\\ y = 5\cdot(3^{2002} - 3^{2001}-3^{2000}) = 5\cdot3^{2000}(3^2-3-1)= \\\;\\ =5\cdot(3^{1000})^2\cdot5 = 5^2\cdot(3^{1000})^2 = (5\cdot3^{1000})^2 [/tex]