Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

If I were trying to change a problem with exponents into a scientific notation how would I do that?

Example is $4(10^{50})^{100}$

I will have questions like this on an exam and I need to understand how to do it. Thank you.

share|improve this question
    
What does this have to do with normal distributions? –  Dilip Sarwate Feb 28 '12 at 4:19
    
@DilipSarwate I retagged OP's question. –  user2468 Feb 28 '12 at 4:28

1 Answer 1

up vote 2 down vote accepted

Since $$(10^{50})^{100} = 10^{50 \times 100} = 10^{5000}$$ we have $$4(10^{50})^{100} = 4 \times 10^{5000}$$

share|improve this answer
    
Yes, but do you have to break it down any farther? If it needs to be a single number? –  SNS Feb 28 '12 at 4:21
    
First let's make we using the same definition en.wikipedia.org/wiki/Scientific_notation –  user2468 Feb 28 '12 at 4:22
    
I'd multiply out everything and then divide the result by the largest power of $10$ such that the quotient is a single digit. Example: $$ 4(10^{50})^{100} = 4(10^{5000}) $$ Now, the largest such power of $10$ is $5000$. –  user2468 Feb 28 '12 at 4:24
1  
Nooo! $ 4\times 10^{5000} \color{red}{\neq} 40^{5000}$. Simpler example: $4 \times 10^2 = 400,$ whereas $40^2 = 1600$. –  user2468 Feb 28 '12 at 4:26
1  
That example 1.7x10^5 would fit better since it is a better approximation! –  checkmath Feb 28 '12 at 4:54

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.