2^26.47058824*(1500)

asked by guest
on Jan 08, 2025 at 8:00 am



You asked:

Evaluate the expression: \({2}^{26.47058824} \cdot 1500\)

MathBot Answer:

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

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

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