3)
45ⁿ⁺¹ / (3²ⁿ⁺¹ * 5ⁿ) =
= (9ⁿ⁺¹ * 5ⁿ⁺¹) / (3²ⁿ⁺¹ * 5ⁿ) =
= ((3²)ⁿ⁺¹ * 5ⁿ⁺¹) / (3²ⁿ⁺¹ * 5ⁿ) =
= (3²ⁿ⁺² * 5ⁿ⁺¹) / (3²ⁿ⁺¹ * 5ⁿ) =
= 3²ⁿ⁺² ⁻ ⁽²ⁿ⁺¹⁾ * 5ⁿ⁺¹ ⁻ ⁿ =
= 3²ⁿ⁺² ⁻ ²ⁿ⁻¹ * 5ⁿ⁺¹ ⁻ ⁿ =
= 3¹ * 5¹ = 3 * 5 = 15,
4)
60ⁿ / (2²ⁿ * 3ⁿ⁻¹ * 5ⁿ⁺¹) =
= (4ⁿ * 3ⁿ * 5ⁿ) / (2²ⁿ * 3ⁿ⁻¹ * 5ⁿ⁺¹) =
= ((2²)ⁿ * 3ⁿ * 5ⁿ) / (2²ⁿ * 3ⁿ⁻¹ * 5ⁿ⁺¹) =
= (2²ⁿ * 3ⁿ * 5ⁿ) / (2²ⁿ * 3ⁿ⁻¹ * 5ⁿ⁺¹) =
= 2²ⁿ ⁻ ²ⁿ * 3ⁿ ⁻ ⁽ⁿ⁻¹⁾ * 5ⁿ ⁻ ⁽ⁿ⁺¹⁾ =
= 2⁰ * 3ⁿ ⁻ ⁿ⁺¹ * 5ⁿ ⁻ ⁿ⁻¹ =
= 1 * 3¹ * 5⁻¹ =
= 3 * 1/5¹ = 3 * 1/5 = 3/5
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Answers & Comments
3)
45ⁿ⁺¹ / (3²ⁿ⁺¹ * 5ⁿ) =
= (9ⁿ⁺¹ * 5ⁿ⁺¹) / (3²ⁿ⁺¹ * 5ⁿ) =
= ((3²)ⁿ⁺¹ * 5ⁿ⁺¹) / (3²ⁿ⁺¹ * 5ⁿ) =
= (3²ⁿ⁺² * 5ⁿ⁺¹) / (3²ⁿ⁺¹ * 5ⁿ) =
= 3²ⁿ⁺² ⁻ ⁽²ⁿ⁺¹⁾ * 5ⁿ⁺¹ ⁻ ⁿ =
= 3²ⁿ⁺² ⁻ ²ⁿ⁻¹ * 5ⁿ⁺¹ ⁻ ⁿ =
= 3¹ * 5¹ = 3 * 5 = 15,
4)
60ⁿ / (2²ⁿ * 3ⁿ⁻¹ * 5ⁿ⁺¹) =
= (4ⁿ * 3ⁿ * 5ⁿ) / (2²ⁿ * 3ⁿ⁻¹ * 5ⁿ⁺¹) =
= ((2²)ⁿ * 3ⁿ * 5ⁿ) / (2²ⁿ * 3ⁿ⁻¹ * 5ⁿ⁺¹) =
= (2²ⁿ * 3ⁿ * 5ⁿ) / (2²ⁿ * 3ⁿ⁻¹ * 5ⁿ⁺¹) =
= 2²ⁿ ⁻ ²ⁿ * 3ⁿ ⁻ ⁽ⁿ⁻¹⁾ * 5ⁿ ⁻ ⁽ⁿ⁺¹⁾ =
= 2⁰ * 3ⁿ ⁻ ⁿ⁺¹ * 5ⁿ ⁻ ⁿ⁻¹ =
= 1 * 3¹ * 5⁻¹ =
= 3 * 1/5¹ = 3 * 1/5 = 3/5