GMAT Prep Exponent Question

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by anshumishra » Sun Jan 02, 2011 7:03 pm
StoneCold1313 wrote:This is probably really easy, but how do I deal with questions like this with big exponents?

5^21 x 4^11 = 2 x 10^n , what is the value of n?
a) 11
b) 21
c) 22
d) 23
e) 32

many thanks
5^21 x 4^11 = 2 x 10^n
=> 5^21 * 2^22 = 2*10^n
=> 2*(2*5)^21 = 2*10^n
=> n = 21

Hence , b
Thanks
Anshu

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