How do you simplify #(4^(1/3))^(3/2)#?

#=+-2#

Explanation:

#(4^(1/3))^(3/2)#

#=4^(1/3 times3/2)#

#=4^(1/2)#

#=sqrt4#

#=+-2#

See the entire simplification process below:

Explanation:

First, use this rule for exponents to start the simplification process:

#(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))#

#(4^color(red)(1/3))^color(blue)(3/2) = 4^(color(red)(1/3) xx color(blue)(3/2)) = 4^(3/6) = 4^(1/2) = 2#