11. Evaluate \( (256)^{\frac{3}{4}} \)

To evaluate \( (256)^{\frac{3}{4}} \), we start by rewriting \( 256 \) as a power of \( 2 \). Since \( 256 = 2^8 \), we can substitute this into our expression: \[ (256)^{\frac{3}{4}} = (2^8)^{\frac{3}{4}} \] Using the property of exponents \( (a^m)^n = a^{m \cdot n} \), we can simplify this further: \[ (2^8)^{\frac{3}{4}} = 2^{8 \cdot \frac{3}{4}} = 2^{6} \] Now we can evaluate \( 2^6 \): \[ 2^6 = 64 \] Thus, the value of \( (256)^{\frac{3}{4}} \) is \( \boxed{64} \).