Calculate the value of (3+1)(3 square+1)(3 fourth power +1)...(3 thirty second power +1)- the value of the sixty-fourth power of three-thirds. Calculate the value of (3+1)(3sq+1)(3quadratic+1)...(332+1)-the value of the sixty-fourth power of three-thirds.

Calculate the value of (3+1)(3 square+1)(3 fourth power +1)...(3 thirty second power +1)- the value of the sixty-fourth power of three-thirds. Calculate the value of (3+1)(3sq+1)(3quadratic+1)...(332+1)-the value of the sixty-fourth power of three-thirds.

(3-1)(3+1)(3 Square+1)(3 fourth power +1)...(3 third power +1)/(3-1)=(3^64-1)/2
(3+1)(3 Squared+1)(3 quartic+1)...(332+1)- Sixty-fourth power of three-thirds =(3+1)(3 squared+1)(3 quartic+1)...(332+1)-(3^64)/2=-1/2

Calculate the 3rd power of the square +2 of 2+2+200th power of...+2

This is a sequence of proportional numbers that can be summed using a summation formula
If you have not learned the sequence of proportional numbers, you can use the following method to sum
Let m=2+2^2+2^3+...+2^200
Multiply by 2 to get:
2M =2^2+2^3+2^4+...+2^201
Subtract from the original formula to obtain:
M=2^201-2
I.e.2+2^2+2^3+...+2^200=2^201-2