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

[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?

please help me someone. :)

 

[Integral]

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?

 

[i-love-physics]

i still don't understand how to figure it out man

i read http://www.chem.tamu.edu/class/fyp/mathrev/mr-expnt.html

but i still don't get it

could you please show me a bit of working

 

[Integral]

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?

 

[radou]

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.

 

[i-love-physics]

ok so 60 * 3600 = 216,000

i can't see the connection to how that will help me with this algebra question

 

[i-love-physics]

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.

dont understand sorry

 

[Integral]

Go ahead and look at the prime factors of 216000.

 

[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.

 

[danago]

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.

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.