To simplify the expression \(\left(\frac{2}{3}\right)^{4}\), we can use the property of exponents which states that \((a/b)^n = a^n / b^n\).
Applying this property, we have:
\[ \left(\frac{2}{3}\right)^{4} = \frac{2^4}{3^4} \]
Now, we calculate \(2^4\) and \(3^4\):
\[ 2^4 = 16 \]
\[ 3^4 = 81 \]
Now, substituting these values back, we get:
\[ \left(\frac{2}{3}\right)^{4} = \frac{16}{81} \]
Thus, the fraction \(\left(\frac{2}{3}\right)^{4}\) is equal to \(\frac{16}{81}\).