1* 1011/210^{-11/2}

asked by guest
on Mar 30, 2025 at 7:00 am



You asked:

Evaluate the expression: 1101121 \cdot {10}^{\frac{-11}{2}}

MathBot Answer:

110112=1010000000.000003162277660168379331998893541 \cdot {10}^{\frac{-11}{2}} = \frac{\sqrt{10}}{1000000} \approx 0.00000316227766016837933199889354


110112=1110112=11100000010=1100000010\begin{aligned}1 \cdot {10}^{\frac{-11}{2}}&=1 \cdot \frac{1}{10^{\frac{11}{2}}}\\&=1 \cdot \frac{1}{1000000} \cdot \sqrt{10}\\&=\frac{1}{1000000} \cdot \sqrt{10}\end{aligned}