Simplify the expression (64)^(1/3) multiplied by (64)^(2/3)

Simplify the expression (64)^(1/3) multiplied by (64)^(2/3)

64^1/3=4
64^2/3=16
thus their product is 4*16=64

64^1/3=(4^3)^1/3=4
64^2/3=(4^3)^2/3=4^2
so, ans of the multiplication is 4*4^2=4^3=64.
Another simple way is:
(64^1/3)*(64^2/3)=64^(1/3+2/3)=64^1=64…

(64)^(1/3) x (64)^(2/3) = (64)^(1/3 + 2/3) = (64)^1 = 64

{Using the identity (a^b)(a^c) = a^(b +c) }

when multiplying like bases, add exponents. that gives you 64^1 which is 64

64^1/3 = cuberoot(64) = 4

64^2/3 = cuberoot(64)^2 = 4^2 = 16

4 * 16 = 64