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Exponent Question

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Junior | Next Rank: 30 Posts
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by shaden » Wed Oct 29, 2008 7:29 am
This is probably simple, but my weak point is exponents and roots.

If the question is (2^2)/(2^-2) = ?

Since it is division with similiar bases, you subtract exponents correct? Therefore, is it:
2^(2-2) =2^0 = 1

or
2^(2--2) = 2^(2+2) =2^4 = 16?

Thanks
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Re: Exponent Question

by herjari » Wed Oct 29, 2008 7:52 am
shaden wrote: 2^(2--2) = 2^(2+2) =2^4 = 16?
Second option is the correct one.

What you have to remember is that 1/2^-2 = 2^2

Best wishes,

H
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Re: Exponent Question

by Neo2000 » Wed Oct 29, 2008 7:56 am
shaden wrote:This is probably simple, but my weak point is exponents and roots.

If the question is (2^2)/(2^-2) = ?

Since it is division with similiar bases, you subtract exponents correct?
or
2^(2--2) = 2^(2+2) =2^4 = 16?

Thanks
You certainly subtract the exponents. However the sign of the exponent is important. You cannot change the sign as you did for the first answer. That is incorrect. The 2nd approach is the right way.
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