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z*10^k=6*10^m

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Carcass
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z*10^k=6*10^m [#permalink] New post   06 Nov 2019, 09:29
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\(z \times 10^k=6 \times 10^m\)


\(m=k+2\)


Quantity A
Quantity B
\(z\)
\(60\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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colinmavlon
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Re: z*10^k=6*10^m [#permalink] New post   06 Nov 2019, 09:44
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We are given z*10^k=6*10^m

substituting k+1 for m

we have z*10^k=6*10^(k+2)

dividing both sides by 10

z=(6*10^(k+2))/10^k

reminder x^y/x^z equals x^(y-z)

so, we have z=6*10^(k+2-K)

z=6*100 which is higher than 60
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z*10^k=6*10^m [#permalink] New post   06 Nov 2019, 12:40
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Carcass wrote:
\(z \times 10^k=6 \times 10^m\)


\(m=k+2\)


Quantity A
Quantity B
\(z\)
\(60\)



GIVEN: If \(m=k+2\), then we know that \(m-k=2\)
We'll use this information shortly!


GIVEN: \(z \times 10^k=6 \times 10^m\)

Divide both sides by \(10^k\) to get: \(z=\frac{6 \times 10^m}{10^k}\)

Apply Quotient Law to get: \(z=6 \times 10^{m-k}\)

Replace \(m-k\) with \(2\) to get: \(z=6 \times 10^2\)

Simplify: \(z = 600\)

We get:
QUANTITY A: 600
QUANTITY A: 60

Answer: A

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Re: z*10^k=6*10^m [#permalink] New post   18 Jun 2020, 15:34
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I did it like differently

z*10^k= 6*10^k*10^2
Divide both sides by 10^k
z=6*10^2 =z=600
A is bigger.
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Re: z*10^k=6*10^m [#permalink] New post   12 Jun 2022, 16:44
Hello from the GRE Prep Club BumpBot!

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Re: z*10^k=6*10^m [#permalink]
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