10 points! check for extraneous solutions 10 points! please explain!!! 2x^5/3=-64

2x^5/3=-64

x^(5/3) = -32
x = (-32)^3/5 = (-2)^3 = -8

Take both sides to 3/5ths making it 2x=-64^3/5
Divide by 2
X=(-64^3/5)/2
Just put that into a calculator

Assuming you mean 2x^(5/3) = -64,
2x^(5/3) = -64
x^(5/3) = -32
(x^(5/3))^(1/5) = (-32)^(1/5)
x^(5/3 * 1/5) = -2
x^(1/3) = -2
(x^(1/3))^3 = (-2)^3
x = -8