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# exponent easy question

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Intern
Joined: 08 Jan 2007
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exponent easy question [#permalink]  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.

Director
Joined: 11 Jun 2007
Posts: 932
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Re: exponent easy question [#permalink]  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.

change the LHS bases to match with the RHS:

so 10^3 = 2^3 * 5^3
4^2 = 2^2 * 2^2
Intern
Joined: 08 Jan 2007
Posts: 17
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Kudos [?]: 1 [0], given: 0

Re: exponent easy question [#permalink]  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.

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
VP
Joined: 10 Jun 2007
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Re: exponent easy question [#permalink]  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.

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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# exponent easy question

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