Powers with a rational exponent and their properties
Answers are for parents and teachers.
1
Compute 32^(3/5).
8
2
Compute 125^(-2/3).
1/25
3
Compute 9^(3/2) · 9^(-1/2).
9
4
Simplify x^(2/3) · x^(1/3).
x
5
Why is 8^(2/3) = 8^(4/6)?
Because 2/3 and 4/6 are the same number; reducing or expanding the exponent fraction does not change the power.