Question

1/1−a+1/1+a+2/1+a^2+4/1+a^4+8/1+a^8+16/1+a^16

Answer 1

Solution:

a∧16 + a∧8 + a∧4 + a∧2 + 32

Given: 1/1−a+1/1+a+2/1+a^2+4/1+a^4+8/1+a^8+16/1+a^16

To find: Addition of the given terms.

Step-by-step explanation:

Simplify by adding the terms,

1-a+1+a+2+a²+4+a∧4+8+a∧8+16

=32+a-a+a²+a∧4+a∧8+a∧16

The a's get canceled as they have opposite signs(+,-), therefore the result is 0.

Combine the like terms,

32+a²+a∧4+a∧8+a∧16

Rearrange the terms,

a∧16+a∧8+a∧4+a²+32.

Therefore the answer is a∧16+a∧8+a∧4+a²+32