Question

Вычислите:

$frac{5^{154}2^{151}}{510^{151}}$

Answer 1

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

Answer 2

$frac{5^{154}*2^{151}}{510^{151}}=\ frac{5^{151+3}*2^{151}}{510^{151}}=\ frac{5^{151}*5^3*2^{151}}{510^{151}}=\ frac{(5*2)^{151}*125}{(51*10)^{151}}=\ frac{10^{151}*125}{51^{151}*10^{151}}=\ frac{10^{151}*125}{51^{151}*10^{151}}=\ frac{125}{51^{151}}$

 

возможно имелось в виду (см.ниже)?!

$frac{5^{154}*2^{151}}{5*10^{151}}=\ frac{5^{151+3}*2^{151}}{5*10^{151}}=\ frac{5^{151}*5^3*2^{151}}{5*10^{151}}=\ frac{(5*2)^{151}*125}{5*10^{151}}=\ frac{10^{151}*125}{5*10^{151}}=\ frac{10^{151}*125}{5*10^{151}}=\ frac{125}{5}=25$