Răspuns:
Explicație pas cu pas:
a) / = linie de fracție
(25×54)/(32×75) = (25/75)⁽²⁵ × (54/32)⁽² = (1/3)×(27/16) = 9/16
__________________________________________________
b) (2⁵×5³×7⁴) / (2⁴×5²×7⁵) = (2⁵/2⁴)×(5³/5²)×(7⁴/7⁵) = 2¹×5¹×(1/7) = 10/7
2⁵/2⁴ = 2⁽⁵⁻⁴⁾ = 2¹
5³/5² = 5⁽³⁻²⁾ = 5¹
____________________________________________________
c)
( 3ⁿx5ⁿ⁺² + 3ⁿ⁺²x5ⁿ ) / ( 3ⁿ⁺²x5ⁿ+3ⁿx5ⁿ⁺¹) =
= (3ⁿx5ⁿx5² + 3ⁿx3²x5ⁿ ) / (3ⁿx3²x5ⁿ + 3ⁿx5ⁿx5¹ ) =
= (3x5)ⁿx(5²+3²) / (3x5)ⁿx(3²+5¹) =
= 15ⁿx(25+9)/15ⁿx(9+5) =
= (34/14)⁽² =
= 17/7
