How do I convert exponential numbers to scientific notation?

Okay, let's say I want to know the probability of a randomly shuffled deck of cards returning to its original suit/number order. The odds are 52 to the 52nd power. If I wanted to express this as ';scientific notation'; I would convert it to 10 to the ?? power.





How is this done?





I could go to my computer's calculator and press 52 X 52 times and come up with the number, but I'd like to know the ';right'; way.How do I convert exponential numbers to scientific notation?
52^52 = 1.706765553 x 10^89. If your calculator has an x^y button, you can use that to put in 52^52. And because it's a big number as it is, it should display it in scientific notation.





Converting anything to scientific notation involves moving the decimal point in any number enough so that the number itself becomes between 1 and 10. So for a number like 323.42332, you'd move the decimal twice to the left, making it 3.2342332. The 10 part comes from how you moved the decimal - left is positive and right is negative. In our case we moved it left twice, making the 10 part a 2. So 323.42332 = 3.2342332 x 10^2.How do I convert exponential numbers to scientific notation?
Type 52^52 into your calculator, rather than multiplying 52 times, but other than that there's no ';right'; way. The only way to 'convert' to scientific notation is to solve it and write the solution in scientific notation.
you don't have to do 52 * 52 * 52 * 52 * ..., you can just go to your calculator, press 52 then press x^y then press 52, then click enter, and you get 1.7067655527...e89 or about 1.71 * 10^89. That ';e89'; just means exponent 89 or 10^89.
Change the original 52 to 5.2x10 then since 10 is the same as 10^1 and multiplying with same base, add the exponents so it becomes 5.2 x 10 to the 53rd. 10^1 x 10^52= 10^1+52=10^53
Evaluating the number is essentially the right way to convert from an exponential to scientific notation.





Of course, hitting multiply 52 times isn't really the way to go. In the Windows calculator, change the view to Scientific. Then, you can use the x^y function, so you could type ';52y52'; and get the same number.
i'd suggest you operate 52^52 and get the first two numbers like 1.7 x 10^89. that's about the shortest way i could find it.
Go to Google and use the ^ sign for exponents. If you wanted to know ten squared, use 10^2. If you needed ten cubed, use 10^3. etc