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125 la puterea 15 : ( 625 la puterea 2 ori 5 la puterea 3 ) totul la puterea 4

Răspuns :

[tex] 125^{15}:(625^2*5^3)^4=(5^3)^{15}:[(5^4)^2*5^3)]^4=5^{45}:(5^8*5^3)^4=5^{45}:(5^{11})^4=5^{45}:5^{44}=5^1=5 [/tex]