Simplifying (8/27)^(4/3) as a Fraction
This problem involves working with fractional exponents and simplifying expressions with fractions. Here's a stepbystep breakdown:
Understanding Fractional Exponents
A fractional exponent like 4/3 can be understood as a combination of two operations:
 The denominator (3): Indicates taking the cube root.
 The numerator (4): Indicates raising the result to the power of 4.
Simplifying the Expression

Cube Root: Find the cube root of both the numerator and denominator of the fraction (8/27).
 The cube root of 8 is 2 (2 x 2 x 2 = 8)
 The cube root of 27 is 3 (3 x 3 x 3 = 27)

Raise to the Power: Now, raise both the numerator and denominator to the power of 4.
 2^4 = 16
 3^4 = 81

Final Result: The simplified expression is 16/81.
Therefore, (8/27)^(4/3) is equal to 16/81.