SOLUTION: evaluate 100^(-1/2)

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Question 231625: evaluate 100^(-1/2)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Negative exponents mean "reciprocal of" and 1/2 as an exponent means square root of. So 100%5E%28-1%2F2%29 means "the reciprocal of the square root of 100" or "the square root of the reciprocal of 100" Either way it works out to 1/10.

A more formal way to do this would be to use a property of exponents, a%5E%28b%2Ac%29+=+%28a%5Eb%29%5Ec, to "separate" the exponent into -1*(1/2):

or