# Thread: simple expotential calculation?

1. ## simple expotential calculation?

I don't get how to solve an equation when e is in the equation. I know that e = 2.718

Say for example,

How do I solve 5000e^(-.24)?

This is what I got:

5000 x 2.718^(-.24) and then I got stuck. How to do solve when its to the power of a fraction? (i.e. 0.24)?

The answer should be approx. 3933.14

Thanks

2. Originally Posted by fabxx
I don't get how to solve an equation when e is in the equation. I know that e = 2.718

Say for example,

How do I solve 5000e^(-.24)?

This is what I got:

5000 x 2.718^(-.24) and then I got stuck. How to do solve when its to the power of a fraction? (i.e. 0.24)?

The answer should be approx. 3933.14

Thanks
Don't approximate, also nobody is expecting you to solve it mentally!

Just put in $5000 \times e^{-0.24}$ into your calculator.

Wolfram gives the correct answer: http://www.wolframalpha.com/input/?i=5000*e^%28-.24%29

3. ## equation

Hello,

Are you allowed to use the calculator or do you want to compute it just by hand???

4. I'm not allowed to use a calculator.

Can you show me how do i compute it by hand?

Thanks!

5. Originally Posted by fabxx
I'm not allowed to use a calculator.

Can you show me how do i compute it by hand?

Thanks!
That task most certainly is not possible. You can simplify it a little bit...but that's about it

$5000 * 2.718^{-.24}$

$\frac{ 5000 }{2.718^{.24} }$

$\frac{ 5000 }{2.718^{.24 + .01 - .01} }$

$\frac{ 5000 }{2.718^{\frac{1}{4}} 2.718^{-.01} }$

$\frac{ 5000 * 2.718^{.01} }{2.718^{\frac{1}{4}}}$

How on god's green earth you're expected to calculate this by hand I do not know

6. So, are you saying that you can't calculate e by hand?

How about e^(0.07)? Thanks

What about for example:

5^(0.07). How do you calculate this by hand?

Much appreciated

7. Originally Posted by fabxx
So, are you saying that you can't calculate e by hand?

How about e^(0.07)? Thanks

What about for example:

5^(0.07). How do you calculate this by hand?

Much appreciated
It's not possible to compute that by hand. Let's look at an example,

$10^{ \frac{1}{4} }$

This will equal whatever number multiplied by 4 times yields 10. In this case, the answer is hard to do by hand and we have a nice fraction. Nevermind having .07 as the exponent.

8. Ah, i see!

Thank you!

9. You are probably just expected to leave the answer in a logarithm form.

### how solve expotential\'s power in calsi calculater

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