Question

Сократите дробь 3²*25⁴/5¹⁰*2²

Answer 1

3²*25⁴/5¹⁰*2²= 3^2*5^8/5^10*2^2 = 3^2/5^2*2^2= 9/100= 0,09

Answer 2

$frac{3^{2}cdot25^{4}}{5^{10}cdot2^{2}}=frac{3^{2}cdot(5^{2})^{4}}{5^{10}cdot2^{2}}=frac{9cdot5^{(2cdot4)}}{5^{10}cdot4}=frac{9cdot5^{8}}{5^{10}cdot4}=frac{9}{5^{2}cdot4}=frac{9}{25cdot4}=frac{9}{100}=0,09$