Question

Vă rog 7 a ,8 a d e, si 4 a si b
Urgent

Answer 1

4a) $250^{4}=250^{2+2} =250^{2}$×$250^{2}= (250^{2})^{2}$ -patrat perfect

b)$5^{206}=5^{103+103}= 5^{103}$×$5^{103}= (5^{103})^{2}$

$7.a) [6^{100}*2^{50}+(3^{17}) ^{10}+ 25^{37}]: [2^{150}*3^{100}+(3^{10}) ^{17} +5^{74}]= \\ \\ \\ =[(2*3) ^{100}* 2^{50} +3^{170} +5^{2*37)} ]:[2^{150}*3^{100}+3^{(10*17)}} + 5^{74}] \\ \\ =[2 ^{(100+50)} *3^{100}+ 3^{170} +5^{74} ]:[2^{150}*3^{100}+3^{170}++5^{74}] \\ \\ =[2^{150}*3^{100}+3^{170}++5^{74}] :[2^{150}*3^{100}+3^{170}++5^{74}] \\ \\ =1$