Consider the following:

To express the above with a positive index i.e. to make the the exponent -5/6 positive, we need to do the reciprocal which will be

which comes to

But the correct answer is

Why?

Thanks,

Ron

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- Oct 14th 2010, 09:27 PMrn5aNegative Exponents
Consider the following:

To express the above with a positive index i.e. to make the the exponent -5/6 positive, we need to do the reciprocal which will be

which comes to

But the correct answer is

Why?

Thanks,

Ron - Oct 14th 2010, 09:47 PMWilmer
7 / x^(-5/6)

= [7 / x^(-5/6)] * [x^(5/6) / x^(5/6)] : multiplication by 1

= [7 x^(5/6)] / [x^(-5/6) x^(5/6)]

= [7 x^(5/6)] / x^0

= 7 x^(5/6)