# Need help with this 1 question that has been bugging me all night

1. Sep 8, 2006

### i-love-physics

x to the power of 2 / 60 + x to the power of 4 / 216,000 = 0.001

How do you figure out what x is?

i looked up the answer in my book the answer is 0.245 but how did they get that answer?

2. Sep 8, 2006

### Integral

Staff Emeritus
What do you know about the manipulation of exponents? Look at your basic definitons, then ask yourself if there is anything that can be factored? For example: is 60 a factor of 216,000?

3. Sep 8, 2006

4. Sep 8, 2006

### Integral

Staff Emeritus
How about you answer my question. Is 60 a factor of 216,000? We know that 2 * 2 = 4 so you can factor the numerator, now do the same with the denominator. Look at and read #3 in your link. Ok, now read it again. How can you use that in your problem?

5. Sep 8, 2006

You can substute x^2 = t, which makes x^4=t^2. Now you can solve the quadratic equation for t, and substitute for x in the end. A bit work with the denominators would be practical too, for the sake of calculation.

6. Sep 8, 2006

### i-love-physics

ok so 60 * 3600 = 216,000

i cant see the connection to how that will help me with this algebra question

7. Sep 8, 2006

### i-love-physics

dont understand sorry

8. Sep 8, 2006

### Integral

Staff Emeritus
Go ahead and look at the prime factors of 216000.

9. Sep 8, 2006

### i-love-physics

let me ask another question that will help me

2/5 + 1/7 =

how would you add these two togther manually without a calculator?
if you can tell me that i will be able to figure out my original problem.

10. Sep 8, 2006

### danago

You would need to find a common denominator. You can do that by mumtiplying both denominators together to get a common denominator of 30, but remembering that whatever you do to the denominator, you must also do to the numerator.