Work out the value of (8/27)^(4/3)

To calculate the value of (8/27)^(4/3), we can start by simplifying the fraction 8/27. We can do this by finding the cube root of both the numerator and the denominator. The cube root of 8 is 2, and the cube root of 27 is 3. Therefore, 8/27 simplifies to 2/3. 

Next, we can raise the simplified fraction 2/3 to the power of 4. To do this, we can first raise the numerator (2) to the power of 4, and then raise the denominator (3) to the power of 4. The result of raising 2 to the power of 4 is 16, and the result of raising 3 to the power of 4 is 81. Therefore, the expression (2/3)^(4/3) simplifies to 16/81.

In conclusion, the value of the expression (8/27)^(4/3) is 16/81. This means that when we raise the fraction 8/27 to the power of 4/3, the result is 16/81. This can be a useful calculation in various mathematical and scientific contexts.

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