The value of \(\dfrac{3^{502} - 3^{500} + 16}{3^{500} + 2}\) is1. 22

1.	The value of \(\dfrac{3^{502} - 3^{500} + 16}{3^{500} + 2}\) is1. 22. 43. 84. 16
Answer» Correct Answer - Option 3 : 8 Given: \(\dfrac{3^{502} - 3^{500} + 16}{3^{500} + 2}\) Calculations: Dividing both the numerator and denominator by 3⁵⁰⁰ \(⇒ \dfrac{3^{2} - 1 + \dfrac{16}{3^{500}}}{1 + \dfrac{2}{3^{500}}}\) ∵ \( \dfrac{16}{3^{500}}\) and \( \dfrac{2}{3^{500}}\) are very very small and thus negligible. We can put 0 in their places \(⇒ \dfrac{3^{2} - 1}{1}\) ⇒ 9 - 1 ⇒ 8 ∴ The value of the given expression is 8

The value of \(\dfrac{3^{502} - 3^{500} + 16}{3^{500} + 2}\) is1. 22. 43. 84. 16

Answer» Correct Answer - Option 3 : 8

Given:
\(\dfrac{3^{502} - 3^{500} + 16}{3^{500} + 2}\)

Calculations:

Dividing both the numerator and denominator by 3⁵⁰⁰

\(⇒ \dfrac{3^{2} - 1 + \dfrac{16}{3^{500}}}{1 + \dfrac{2}{3^{500}}}\)

∵ \( \dfrac{16}{3^{500}}\) and \( \dfrac{2}{3^{500}}\) are very very small and thus negligible. We can put 0 in their places

\(⇒ \dfrac{3^{2} - 1}{1}\)

⇒ 9 - 1

⇒ 8

∴ The value of the given expression is 8