Question

What is the value of (0.000128) ^(1/7)​

Answer 1

$\bold\green {answer}$

This rule took a while for me to internalize. It's tough to picture a decimal terminating when the denominator is so huge, such as DWG's example of 43/256. I found it helped me to think about the basic patterns:

1/2^1 = 0.5

1/2^2 = 0.25

1/2^3 = 0.125

1/2^4 = 0.0625

1/2^5 = 0.03125

1/2^6 = 0.015625

1/2^7 = 0.0078125

1/5^1 = 0.2

1/5^2 = 0.04

1/5^3 = 0.008

1/5^4 = 0.0016

1/5^5 = 0.00032

1/5^6 = 0.000064

1/5^7 = 0.0000128