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1/2^-3

 Sep 29, 2016
 #1
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Everything to negative exponent is flipped.

1/2=0.5

0.5^-3=1/(0.5^3)

0.5^3=0.125

1/0.125=8

 Sep 29, 2016
 #2
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Similar to what other guest was saying.

 

2^(-1) = 1/2

2^(-2) = 1/(2^2) = 1/4

 

The same works for fractions with negative exponents.

1/(3^(-3))=3^(3) = 27

 

The important thing to recognize here is that when you have a number, or variable, to the power of a negative exponent you will take the reciprocal in order to drop the negative.

 

The reasons for this are not easy to describe by forum.

 Sep 29, 2016
 #3
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1/2^-3  →  2^3 →  8

.

 Sep 29, 2016

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