Помогите!!!Сократите дробь 75^n/5^2n-1*3^n-2

Question

Помогите!!!Сократите дробь 75^n/5^2n-1*3^n-2

Answer 1

75ⁿ/(5²ⁿ⁻¹ *3ⁿ⁻²) = (5² * 3)ⁿ / (5²ⁿ⁻¹ * 3ⁿ⁻²) = (5²ⁿ * 3ⁿ) / (5²ⁿ⁻¹ * 3ⁿ⁻²) =

= 5²ⁿ⁻²ⁿ⁺¹ * 3ⁿ⁻ⁿ⁺² = 5¹ * 3² = 5*9=45