Question

Быстрее! 125$125^{1 frac{1}{2} } *25 ^{ -frac{3}{4} } =$

Answer 1

125 ^ ( 1 1/2 ) = ( 5 ^ 3 ) ^ 3/2 = 5 ^ 9/2 
25 ^ - 3/4 = ( 5 ^ 2 ) ^ - 3/4 = 5 ^ - 3/2 
( 5 ^ 9/2 ) * ( 5 ^ - 3/2 ) = 5 ^ ( 9/2 - 3/2 ) = 5 ^ 6/2 = 5 ^ 3 = 125 
Ответ 125