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If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800

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Intern
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S
Joined: 07 Jun 2018
Posts: 42
If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800  [#permalink]

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New post 31 Oct 2018, 20:37
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

88% (02:11) correct 12% (02:15) wrong based on 26 sessions

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If \(\frac{(0.056*10^{z})}{(0.00007*10^{w})}\)=\(\frac{(800y)}{(9^{z}*9^{-w})}\) then y=

1. \((1/9)^{w-z}\)

2. \(9^{z-w}\)

3. \(90^{z-w}\)

4. \((1/90)^{z}\)

5. \(90^{w}\)
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Posts: 9
Re: If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800  [#permalink]

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New post 31 Oct 2018, 21:32
Jazzmin - Straight forward but a bit lengthy problem =1 min.
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Joined: 13 Jan 2018
Posts: 181
Location: India
GMAT 1: 580 Q47 V23
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Re: If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800  [#permalink]

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New post 31 Oct 2018, 22:15
\(\frac{56 * 10^{z-3}}{7 * 10^{w-5}}\) = \(\frac{800y}{9^{z-w}}\)

\(10^{z-3-w+5}\) = \(\frac{100y}{9^{z-w}}\)

\(10^{z-w} * 10^2\) = \(\frac{10^2 y}{9^{z-w}}\)

\(y = 90^{z-w}\)

OPTION : C
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If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800  [#permalink]

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New post 03 Nov 2018, 02:35
1
Answer is C indeed. However, this should not be labeled as DS problem, please amend it to PS.

Thanks
GMAT Club Bot
If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800 &nbs [#permalink] 03 Nov 2018, 02:35
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If (0.056∗10z)(0.00007∗10w)(0.056∗10z)(0.00007∗10w)=(800y)(9z∗9−w)(800

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