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)