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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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Manager
Joined: 07 Jun 2018
Posts: 51
Location: United States

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31 Oct 2018, 21:37
2
00:00

Difficulty:

25% (medium)

Question Stats:

83% (02:33) correct 17% (02:33) wrong based on 32 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. $$90^{w}$$
Intern
Joined: 02 Sep 2016
Posts: 9

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31 Oct 2018, 22:32
Jazzmin - Straight forward but a bit lengthy problem =1 min.
Senior Manager
Joined: 13 Jan 2018
Posts: 342
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)

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31 Oct 2018, 23:15
$$\frac{56 * 10^{z-3}}{7 * 10^{w-5}}$$ = $$\frac{800y}{9^{z-w}}$$

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

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

$$y = 90^{z-w}$$

OPTION : C
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Chaitanya

+1 Kudos

if you like my explanation!!!
Intern
Joined: 22 Aug 2018
Posts: 11

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

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