The value of the expression (-8)^5/3 can be calculated as follows:
(-8)^5/3 = (-8)^(5 * 1/3) = (-8)^1.6667
(-8)^1.6667 = (1/2)^1.6667 * 8^1.6667
(1/2)^1.6667 ~= 0.3646
8^1.6667 = 8^5/3
Therefore, the final value is:
(-8)^5/3 = 0.3646 * 8^5/3
(-8)^5/3 ~= 1.2498
This means that the value of the expression (-8)^5/3 is approximately 1.25. In scientific notation, this would be written as:
(-8)^5/3 ≈ 1.25 * 10^(3/5)
Where 1.2498 is the estimated value of the expression (-8)^5/3, and 10^(3/5) is used to express the final answer in terms of scientific notation.