2+4+9⁸-(-9)⁸

Let's simplify the expression step by step:

1. Calculate \( 9^8 \): \[ 9^8 = (3^2)^8 = 3^{16} \]

2. Calculate \( -(-9)^8 \) (note that \( (-9)^8 \) is a positive number since any even power of a negative number is positive): \[ (-9)^8 = 9^8 \] Therefore, \[ -(-9)^8 = -9^8 = -3^{16} \]

3. Now, substitute back into the expression: \[ 2 + 4 + 9^8 - (-9)^8 = 2 + 4 + 9^8 + 9^8 = 2 + 4 + 2 \cdot 9^8 \]

4. Combine the constants: \[ 2 + 4 = 6 \]

5. Therefore, the expression simplifies to: \[ 6 + 2 \cdot 9^8 \]

This is the final simplified form. If you need a numerical approximation of \( 2 \cdot 9^8 \), you can calculate \( 9^8 = 43046721 \): \[ 2 \cdot 9^8 = 2 \cdot 43046721 = 86093442 \] Thus, \[ 6 + 86093442 = 86093448 \]

Final answer: \[ 86093448 \]