Question

Calculatii : 125 la puterea 13-124×5 la puterea 36

Answer 1

   
[tex]\displaystyle\\ 125^{13}-124\times 5^{36}=\\\\ =\Big(5^3\Big)^{13}-124\times 5^{36}=\\\\ =5^{3\times13}-124\times 5^{36}=\\\\ =5^{39}-124\times 5^{36}=\\\\ =5^{36+3}-124\times 5^{36}=\\\\ =5^{36}\times5^{3}-124\times 5^{36}=\\\\ =5^{36}(5^{3}-124)=5^{36}(125-124)=5^{36}\times 1 = \boxed{\bf 5^{36}} [/tex]