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How do you solve 100^-2/3

 Dec 8, 2016
 #1
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How do you solve 100^-2/3

 

1/[10 x (10)^1/3] =0.046415888......

 

ANOTHER WAY:

Simplify the following:
100^(-2/3)

1/100^(2/3) = 1/(100^2)^(1/3) = 1/(10^4)^(1/3) = (1/10^(1/3))/(10):
(1/10^(1/3))/(10)

Rationalize the denominator. 1/(10 10^(1/3)) = 1/(10 10^(1/3))×(10^(2/3))/(10^(2/3)) = (10^(2/3))/(10×10):
(10^(2/3))/(10×10)

10×10 = 100:
Answer: |(10^(2/3))/(100)

 Dec 8, 2016

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