Question

What expression is equivalent to (x^4/3 x^2/3) ^1/3

Answer 1

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

using the power of powers rule (multiply the exponents)

x^(4/3*1/3) x^(2/3* 1/3)

x^ (4/9) ( x^ 2/9)

when multiply exponents, add

x^ (4/9 + 2/9)

x^ (6/9)

x^ (2/3)