Question

Im confused on how to do this

Answer 1

`27^(1)/(3),\ 125^(2)/(3),\ 9^(3)/(2)`

Explanation:

Write each base as a power, then use exponent rules to simplify.

`9^(3)/(2)=(3^2)^(3)/(2)=3^{2* (3)/(2)}=3^3=27\\\\27^(1)/(3)=(3^3)^(1)/(3)=3^{3* (1)/(3)}=3^1=3\\\\125^(2)/(3)=(5^3)^(2)/(3)=5^{3* (2)/(3)}=5^2=25`

From smallest to largest, the order is
`27^(1)/(3),\ 125^(2)/(3),\ 9^(3)/(2)`.