Question

дам 15 баллов!
$\frac{ {25}^{4} \times {125}^{10} }{ {5}^{37} }$
объясните, как решать, позязя!

Answer 1

$({ {5}^{2} })^{4} \times { ({5}^{3} )}^{10} \div {5}^{37}$ =
${5}^{8} \times {5}^{30} \div {5}^{37} = {5}^{8 + 30 - 37} = {5}^{1} = 5$

Answer 2

$\frac{25^4*125^{10}}{5^{37}}=\frac{(5^2)^4*(5^3)^{10}}{5^{37}}=\\ \\=\frac{5^{2*4}*5^{3*10}}{5^{37}}=\frac{5^{8}*5^{30}}{5^{37}}=\frac{5^{8+30}}{5^{37}}=\\\\=\frac{5^{38}}{5^{37}}=5^{38-37}=5^1=5$