(0.5326*(-1)*0.5326*0.5326)/(2*3*(2*3+1))

asked by guest
on Jan 26, 2025 at 8:46 pm



You asked:

Evaluate the expression: \(\frac{0.5326 \cdot -1 \cdot 0.5326 \cdot 0.5326}{2 \cdot 3 \left(2 \cdot 3 + 1\right)}\)

MathBot Answer:

\[\frac{0.5326 \cdot -1 \cdot 0.5326 \cdot 0.5326}{2 \cdot 3 \left(2 \cdot 3 + 1\right)} = - \frac{18884848247}{5250000000000} = -0.003597113951\overline{809523}\]

\[\begin{aligned}\frac{0.5326 \cdot -1 \cdot 0.5326 \cdot 0.5326}{2 \cdot 3 \left(2 \cdot 3 + 1\right)}& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{2 \cdot 3 \cdot \left(2 \cdot 3 + 1\right)}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{2 \cdot 3 \cdot \left(6 + 1\right)}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{2 \cdot 3 \cdot 7}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{6 \cdot 7}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{42}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{420000}\\& = \frac{2663}{5000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{420000}\\& = - \frac{2663}{5000} \cdot \frac{5326}{10000} \cdot \frac{5326}{420000}\\& = - \frac{7091569}{2500} \cdot \frac{5326}{10000} \cdot \frac{1}{420000}\\& = - \frac{7091569}{25000000} \cdot \frac{5326}{420000}\\& = - \frac{18884848247}{12500000} \cdot \frac{1}{420000}\\& = - \frac{18884848247}{5250000000000}\end{aligned}\]

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