Вычислите: [latex] \frac{5^{154}2^{151}}{510^{151}} [/latex]

=  (5¹⁵¹ * 5³ * 2¹⁵¹) / (51¹⁵¹ * 10¹⁵¹) = (10¹⁵¹ * 5³) / (51¹⁵¹ * 10¹⁵¹) = 5³ / 51¹⁵¹

[latex]\frac{5^{154}*2^{151}}{510^{151}}=\\ \frac{5^{151+3}*2^{151}}{510^{151}}=\\ \frac{5^{151}*5^3*2^{151}}{510^{151}}=\\ \frac{(5*2)^{151}*125}{(51*10)^{151}}=\\ \frac{10^{151}*125}{51^{151}*10^{151}}=\\ \frac{10^{151}*125}{51^{151}*10^{151}}=\\ \frac{125}{51^{151}}[/latex]   возможно имелось в виду (см.ниже)?! [latex]\frac{5^{154}*2^{151}}{5*10^{151}}=\\ \frac{5^{151+3}*2^{151}}{5*10^{151}}=\\ \frac{5^{151}*5^3*2^{151}}{5*10^{151}}=\\ \frac{(5*2)^{151}*125}{5*10^{151}}=\\ \frac{10^{151}*125}{5*10^{151}}=\\ \frac{10^{151}*125}{5*10^{151}}=\\ \frac{125}{5}=25[/latex]