How do you evaluate 343^(2/3)?

Answer 1

When you end-up with a fraction for a power; work from the bottom-up. In this situation; cubed root squared.

cubed root of 343 is 7; squared is 49.

Another way to do it is 343^.666=48.809..... More digits are needed to get more precision.

Answer 2

you rewrite 343 as 7^3, then it will become (7^3)^2/3.The 3's are going to cancel each other out and we are going to be left with only 7^2 which is 49.