Math Problem Solver

$$130 \cdot {4.2}^{0.4} = 26 \cdot 21^{\frac{2}{5}} \cdot 5^{\frac{3}{5}} \approx 230.80386037862843284051596738305622$$

$$\begin{aligned}130 \cdot {4.2}^{0.4}&=130 \cdot \left(4 + \frac{2}{10}\right)^{\frac{4}{10}}\\&=130 \cdot \left(4 + \frac{1}{5}\right)^{\frac{4}{10}}\\&=130 \cdot \left(\frac{21}{5}\right)^{\frac{4}{10}}\\&=130 \cdot \left(\frac{21}{5}\right)^{\frac{2}{5}}\\&=130 \cdot \frac{1}{5} \cdot 5^{\frac{3}{5}} \cdot 21^{\frac{2}{5}}\\&=26 \cdot 5^{\frac{3}{5}} \cdot 21^{\frac{2}{5}}\end{aligned}$$