To subtract one from a series of twos, evaluate 2²² without a calculator by breaking it down using the power rules.
Factorizing 2²² yields 2¹⁰ * 2¹², and using the value of 2¹⁰ as 1024, the calculation is simplified further.
After multiplication, the number 2048 can be split into 2000 and 48, which could be expressed as a sum of squares and then simplified using the square of a sum technique.
By breaking down 48 into 40 and 8 and following the same method, the calculation becomes simpler and attainable without a calculator.