How do you simplify #(1/8)^(4/3)#?
First, we see that:
Now use the rule
One of the laws of indices states:
The index is a fraction: note that:
The denominator indicates the root and the numerator the power.
It does not matter which you do first, but finding the root first means we can use smaller numbers, rather than finding
It will be to your advantage to learn the powers of the natural numbers from 1 to 10 up to 1000.
In this question we have used