How do you calculate 20 to the 20th power without calculator Show full method?

To calculate (20^{20}) without a calculator, you can use the properties of exponents. First, express 20 as (2 \times 10), so (20^{20} = (2 \times 10)^{20} = 2^{20} \times 10^{20}). Then calculate (2^{20}) and (10^{20}) separately: (10^{20} = 1) followed by 20 zeros, while (2^{20} = 1,048,576). Finally, combine these results: (20^{20} = 1,048,576 \times 10^{20}), or (1,048,576) followed by 20 zeros.