Question

(2−1)⋅(2+1)⋅(22+1)⋅(24+1)⋅(28+1)−216+47

Answer 1

1) 2-1=1
2) 2+1=3
3) 22+1=23
4)24+1=25
5)28+1=29
1•3=3
23•25=55
3•55•29=4785
216+47=263
4785-263=4522

Answer 2

Let's simplify the expression step by step:

1. Start with the innermost parentheses:

   • (2^2 + 1) = (4 + 1) = 5
   • (2^4 + 1) = (16 + 1) = 17
   • (2^8 + 1) = (256 + 1) = 257

2. Now, let's multiply these values together along with the other parts of the expression:

   • (2 - 1) = 1
   • (2 + 1) = 3

   So, the expression becomes:

   1 * 5 * 17 * 257 - 216 + 47

3. Next, calculate the product of the numbers:

   1 * 5 * 17 * 257 = 21845

4. Now, substitute this value back into the expression:

   21845 - 216 + 47

5. Finally, perform the remaining calculations:

   21845 - 216 + 47 = 21629

So, the simplified value of the expression is 21629.