How does the (255K)^4 get to (4.228 * 10^9) in this equation... (Stefan - Boltzmann Law)

E = (5.67 * 10-8 W m^-2 K^-4) * (255 K)^4
E = (5.67 * 10-8 W m^-2) * (4.228 * 10^9)
E = 240 W m^-2

Question

How does the (255K)^4 get to (4.228 * 10^9) in this equation... (Stefan - Boltzmann Law)

E = (5.67 * 10-8 W m^-2 K^-4) * (255 K)^4
E = (5.67 * 10-8 W m^-2) * (4.228 * 10^9)
E = 240 W m^-2

snowsurf · Answer

The (255)^4 = 4228250625 and if you count the number of decimal places you will get 9. They just round off the 4228 part. Then that becomes 4.228x10^9. http://www.mathsisfun.com/numbers/scientific-notation.html