Question

(8−1)⋅(8+1)⋅(8^2+1)⋅(8^4+1)⋅(8^8+1)−8^16+33.

Answer 1

вторая картинка ответ^!

Answer 2

To simplify the given expression:

(8 - 1) ⋅ (8 + 1) ⋅ (8^2 + 1) ⋅ (8^4 + 1) ⋅ (8^8 + 1) - 8^16 + 33

Let's break it down step by step:

1. Calculate the values inside the parentheses:

   (8 - 1) = 7 (8 + 1) = 9 (8^2 + 1) = 65 (8^4 + 1) = 4097 (8^8 + 1) = 16777217

2. Multiply these values together:

   7 * 9 * 65 * 4097 * 16777217

3. Calculate this product:

   7 * 9 * 65 * 4097 * 16777217 ≈ 4.9634297e+17

4. Subtract 8^16 from the result:

   4.9634297e+17 - 8^16

5. Calculate 8^16:

   8^16 = 281474976710656

6. Subtract 281474976710656 from the previous result:

   4.9634297e+17 - 281474976710656 ≈ 4.9634297e+17 - 2.81474976710656e+14 ≈ 4.963429497e+17

7. Finally, add 33:

   4.963429497e+17 + 33 ≈ 4.963429497e+17 + 33 = 4.963429497e+17 + 3.3e+1

So, the simplified result is approximately 4.963429497e+17 + 33.