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exponent easy question

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Intern
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Joined: 08 Jan 2007
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exponent easy question [#permalink] New post 17 Sep 2007, 13:07
Hi guys I wantd to know how you would solve a problem like this

10^3*4^2=2^n*5^2

This may be written wrong but I basically want to know what steps you take to solve for the N.

thanks in advance :)
Director
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Re: exponent easy question [#permalink] New post 17 Sep 2007, 13:15
nitostyle wrote:
Hi guys I wantd to know how you would solve a problem like this

10^3*4^2=2^n*5^2

This may be written wrong but I basically want to know what steps you take to solve for the N.

thanks in advance :)


change the LHS bases to match with the RHS:

so 10^3 = 2^3 * 5^3
4^2 = 2^2 * 2^2
Intern
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Re: exponent easy question [#permalink] New post 17 Sep 2007, 13:25
beckee529 wrote:
nitostyle wrote:
Hi guys I wantd to know how you would solve a problem like this

10^3*4^2=2^n*5^2

This may be written wrong but I basically want to know what steps you take to solve for the N.

thanks in advance :)


change the LHS bases to match with the RHS:

so 10^3 = 2^3 * 5^3
4^2 = 2^2 * 2^2



Ok I get this part now, thank you. but how do you get the value of N?
if you know one off your head you can use as an example that would be really helpful

thank you
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Re: exponent easy question [#permalink] New post 17 Sep 2007, 17:49
nitostyle wrote:
Hi guys I wantd to know how you would solve a problem like this

10^3*4^2=2^n*5^2

This may be written wrong but I basically want to know what steps you take to solve for the N.

thanks in advance :)


You have to make the base the same, but in this case, it is not possible and I think the question is wrong...

10^3*4^2=2^n*5^2
(5*2)^3 * (2^2)^2 = 2^n * 5^2
5^3 * 2^7 = 2^n * 5^2

Still left with 5.
Re: exponent easy question   [#permalink] 17 Sep 2007, 17:49
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