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Exponent Confusion for M Q Num Prop Bank

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caroline.welty
 Post subject: Exponent Confusion for M Q Num Prop Bank
 Post Posted: Fri Mar 13, 2009 3:20 pm 
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Course Students


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Solution to DS q 8:

Value of (2^x + 2^x) / (s^y)

in solution one step goes from (2*(2^x)) / (2^y) --> (2^(x+1)) / (2^y)

What is the principle followed here?

Any thoughts?
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StaceyKoprince
 Post subject: Re: Exponent Confusion for M Q Num Prop Bank
 Post Posted: Mon Mar 23, 2009 8:56 pm 
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ManhattanGMAT Staff


Posts: 6064
Location: San Francisco
The formatting on here makes it hard to see what's going on, so you may want to follow this by writing it on a piece of paper yourself with normal symbology.

I'll strip out the denominator (2^y) because that doesn't change here

2*2^x = 2^1 * 2^x = 2^(x+1)

First, you can take any number and write it as itself raised to the 1 power.

Then, when the bases are the same, and the two terms are multiplied, you can combine them by adding the exponents (in this case 1 and x).

Make sense?

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Stacey Koprince
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