Question

Calculează:5'150:25'70+8'32:16'24+100'26:10'48-25'5•5'2

Answer 1

Răspuns:                    

Explicație pas cu pas:

$\bf a)~5^{140}:25^{70}+8^{32}:16^{24}+100^{26}:10^{48}-2^5\cdot 5^2=$

$\bf 5^{140}:(5^{2}) ^{70}+(2^{3})^{32}:(2^{4})^{24}+(10^{2})^{26}:10^{48}-2^5\cdot 5^2=$

$\bf 5^{140}:5^{2\cdot70}+2^{3\cdot32}:2^{4\cdot24}+10^{2\cdot26}:10^{48}-2^5\cdot 5^2=$

$\bf 5^{140}:5^{140}+2^{96}:2^{96}+10^{52}:10^{48}-2^5\cdot 5^2=$

$\bf 5^{140-140}+2^{96-96}+10^{52-48}-2^5\cdot 5^2=$

$\bf 5^{0}+2^{0}+10^{4}-2^5\cdot 5^2=$

$\bf 1+1+10000-32\cdot 25=$

$\bf 1+1+10000-800=$

$\bf 1+1+9200=$

$\red{\underline{~\bf 9~202~}}$

$==pav38==$