Question

3^502 - 3^500 +16 / 3^500 + 2. solve this ​

Answer 1

Answer:

8

Step-by-step explanation:

$= \frac{ {3}^{502} - {3}^{500} + 16 }{ {3}^{500} + 2 } \\ = \frac{ {3}^{500 + 2} - {3}^{500} + 16 }{ {3}^{500} + 2 } \\ = \frac{ {3}^{500}( {3}^{2} - 1) + 16 }{ {3}^{500} + 2 } \\ = \frac{ {3}^{500}(8) + 16 }{ {3}^{500} + 2} \\ = \frac{8( {3}^{500} + 2) }{ {3}^{500} + 2 } \\ = 8$