Math Problem Solver

$${2}^{26.47058824} \cdot 1500 = 100663296000 \cdot 2^{\frac{5882353}{12500000}} \approx 139486546599.40490740890446880299091951742709$$

$$\begin{aligned}{2}^{26.47058824} \cdot 1500&=2^{26 + \frac{47058824}{100000000}} \cdot 1500\\&=2^{26 + \frac{5882353}{12500000}} \cdot 1500\\&=2^{\frac{330882353}{12500000}} \cdot 1500\\&=67108864 \cdot 2^{\frac{5882353}{12500000}} \cdot 1500\\&=100663296000 \cdot 2^{\frac{5882353}{12500000}}\end{aligned}$$