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# GMAC: Exponents

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Manager
Joined: 21 Sep 2006
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GMAC: Exponents [#permalink]  21 Sep 2007, 20:03
Can anyone help to walk me through this coz i don't have the answers for this one though Thanks.

((1/5)^m)((1/4)^18)= ((1/2(10)^35)). What is the value of m?
Director
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Re: GMAC: Exponents [#permalink]  21 Sep 2007, 20:33
Hang Tuah wrote:
Can anyone help to walk me through this coz i don't have the answers for this one though Thanks.

((1/5)^m)((1/4)^18)= ((1/2(10)^35)). What is the value of m?

question.. for the rhs.. is that [1/2]* [10^35] or (1/20)^35
Manager
Joined: 17 Aug 2007
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Re: GMAC: Exponents [#permalink]  21 Sep 2007, 20:50
Hang Tuah wrote:
Can anyone help to walk me through this coz i don't have the answers for this one though Thanks.

((1/5)^m)((1/4)^18)= ((1/2(10)^35)). What is the value of m?

( 1/5) ^m * 1/2 ^ 36 = 1/2 * 10^35

= (1/5) ^m * (1/2)^35 = 10 ^ 35 (cancelling 1/2 both sides)

(1/5) ^ m = (10/2)^35 ( applying x ^m * y ^ -m = (x/y) ^ m)

or 5 ^ -m = 5 ^35

or m = -35
Director
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Re: GMAC: Exponents [#permalink]  21 Sep 2007, 21:08
carpeD wrote:
Hang Tuah wrote:
Can anyone help to walk me through this coz i don't have the answers for this one though Thanks.

((1/5)^m)((1/4)^18)= ((1/2(10)^35)). What is the value of m?

( 1/5) ^m * 1/2 ^ 36 = 1/2 * 10^35

= (1/5) ^m * (1/2)^35 = 10 ^ 35 (cancelling 1/2 both sides)

(1/5) ^ m = (10/2)^35 ( applying x ^m * y ^ -m = (x/y) ^ m)

or 5 ^ -m = 5 ^35

or m = -35

correct me if i'm wrong as i had a similar logic but isn't the part in red supposed to be (1/5)^m = (10/ [1/2])^35 = 1/5^m = 20^35 since we are "canceling" the term
Manager
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Re: GMAC: Exponents [#permalink]  21 Sep 2007, 21:28
beckee529 wrote:
carpeD wrote:
Hang Tuah wrote:
Can anyone help to walk me through this coz i don't have the answers for this one though Thanks.

((1/5)^m)((1/4)^18)= ((1/2(10)^35)). What is the value of m?

( 1/5) ^m * 1/2 ^ 36 = 1/2 * 10^35

= (1/5) ^m * (1/2)^35 = 10 ^ 35 (cancelling 1/2 both sides)

(1/5) ^ m = (10/2)^35 ( applying x ^m * y ^ -m = (x/y) ^ m)

or 5 ^ -m = 5 ^35

or m = -35

correct me if i'm wrong as i had a similar logic but isn't the part in red supposed to be (1/5)^m = (10/ [1/2])^35 = 1/5^m = 20^35 since we are "canceling" the term

yeah your right !!! i just made it convenient for myself .. I am kind of stuck now ...
CEO
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Re: GMAC: Exponents [#permalink]  22 Sep 2007, 00:20
Hang Tuah wrote:
Can anyone help to walk me through this coz i don't have the answers for this one though Thanks.

((1/5)^m)((1/4)^18)= ((1/2(10)^35)). What is the value of m?

had this one on my gmat prep.

(1/5^m * (1/2^2)^18 = 1/2(2^35*5^35)

(1/5^m * (1/2)^36 = 1/2^36*5^35. Multiply both sides by 2^36.

m=35.
Re: GMAC: Exponents   [#permalink] 22 Sep 2007, 00:20
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