Question

5 la puterea 140 :25 la puterea 70 +8 laputerea 32:16 la puterea 24 +100 la puterea 25:10 la puterea 48-2 laputerea 2 ×5 la puterea 2

Answer 1

Răspuns:

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

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

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

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

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

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

$\bf 1+1+10~000-32\cdot 25=$

$\bf 1+1+10~000-800=$

$\bf 1+1+9~200=$

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

Bafta multa !