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Exponent

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Junior | Next Rank: 30 Posts
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by Baten80 » Sat Aug 21, 2010 3:28 pm
If (6^2)(44)(5^x)(20) / (8^2)(9) = 1375, what is the value of x?

A -1
B 0
C 1
D 2
E 3

Show details please. I do not know correct answer.
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Junior | Next Rank: 30 Posts
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by EdWood » Sat Aug 21, 2010 4:07 pm
[(6^2)*44*(5^x)*20]/[8^2*9] = 1375

[6*6*11*4*5*4*(5^x)]/[4*2*4*2*3*3] = 1375
cancel common terms in Numerator and Denominator,

11 * 5 * (5^x) = 1375
11 * 5^(x+1) = 1375
5^(x+1)=1375/11 = 125
5^(x+1)=5^3

x+1 = 3
x=2.
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by Stuart@KaplanGMAT » Sat Aug 21, 2010 9:14 pm
Double post!

See also: https://www.beatthegmat.com/exponent-t64483.html
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