Question

25^0,3 * 5 ^1,4 * 625 ^0,25

Answer 1

25^5/10*5^7/5*625^1/4
5^3/5*5^7/5*5^
3/5+7/5+5/5=15/5
5^3=125

Answer 2

$25^{0,3} * 5 ^{1,4} * 625 ^{0,25} \ \ 1)25^{0,3}=25^{frac{3}{10}}=(5^2)^{frac{3}{10}}=5^{frac{3}{5}} \ 2)5 ^{1,4}=5^{frac{14}{10}}=5^{frac{7}{5}} \ 3)625 ^{0,25}=625 ^{frac{25}{100}}=625 ^{frac{1}{4}}=(5^4)^{frac{1}{4}}=5^1 \ \ 4)5^{frac{3}{5}}*5^{frac{7}{5}}*5^1=5^{frac{3}{5}+frac{7}{5}+1}=5^{3}=125$