44. \( 8 m^{\frac{1}{3}}\left(m^{\frac{1}{3}}+2\right) \)

To simplify the expression \( 8 m^{\frac{1}{3}}\left(m^{\frac{1}{3}}+2\right) \), we can distribute \( 8 m^{\frac{1}{3}} \) into the parentheses. This yields: \[ 8 m^{\frac{1}{3}} \cdot m^{\frac{1}{3}} + 8 m^{\frac{1}{3}} \cdot 2 \] Calculating each part, we first find: \[ 8 m^{\frac{1}{3}} \cdot m^{\frac{1}{3}} = 8 m^{\frac{1}{3} + \frac{1}{3}} = 8 m^{\frac{2}{3}} \] Next, we compute: \[ 8 m^{\frac{1}{3}} \cdot 2 = 16 m^{\frac{1}{3}} \] Putting it all together, the expression simplifies to: \[ 8 m^{\frac{2}{3}} + 16 m^{\frac{1}{3}} \] And that's the final simplified form!