With Windows 10 comes an HP calculator that can calculate up to 10^10,000 and it has a "mod" key on it as well.
Yes I know there are calculators online that can do it.
I do not think that this is how guest was expected to answer this question.
I asked you if you knew how to do it with a standard old fashioned calculator. (or with the web2.0 calc if you want)
I didn't answer your question properly! You CAN use any ordinary calculator and calculate ANY very large number by using the "Log Key base 10". Example: 25^1E12. You simply take the exponent, or 1E12 and multiplied it by Log 25 base 10. You should get:1,397,940,008,672.037609572522210551. Then you would raise the fractional part to the power of 10 thus. 10^0.037609572522210551 =1.0904595806948112697717659697915 x 10^1,397,940,008,672.
ok
Here is how I would present the answer.
\(y=4^{2012}\\ log_{10} \;y=log_{10} \;4^{2012}\\ log_2 \;y=2012\;log_2 \;4\\ log_2 \;y=2012*2\\ log_2 \;y=4024\\ \frac{log_{10}\;y}{log_{10}\;2}=4024\\ log_{10}\;y=4024*log_{10}2\\ log_{10}\;y\approx 1211.344703\\ y\approx 10^{1211.344703}\\ y\approx 10^{0.344703}*10^{1211}\\ y\approx 2.211581763*10^{1211}\\ \)