h. \( (1,024 \cdot 32)^{\frac{1}{5}} \)

Let's break this down! First, \(1,024\) is actually \(2^{10}\) and \(32\) is \(2^5\). So, when you multiply them together: \[ 1,024 \cdot 32 = 2^{10} \cdot 2^5 = 2^{15} \] Now, taking the fifth root: \[ (2^{15})^{\frac{1}{5}} = 2^{15/5} = 2^3 = 8 \] So, \( (1,024 \cdot 32)^{\frac{1}{5}} = 8\). Isn't it cool how numbers can transform into something elegant and simple like that?