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

asked by guest
on Jan 26, 2025 at 8:43 pm



You asked:

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

MathBot Answer:

\[\frac{0.5326 \cdot -1 \cdot 0.5326 \cdot 0.5326}{2 \cdot 2 \left(2 \cdot 2 + 1\right)} = - \frac{18884848247}{2500000000000} = -0.0075539392988\]

\[\begin{aligned}\frac{0.5326 \cdot -1 \cdot 0.5326 \cdot 0.5326}{2 \cdot 2 \left(2 \cdot 2 + 1\right)}& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{2 \cdot 2 \cdot \left(2 \cdot 2 + 1\right)}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{2 \cdot 2 \cdot \left(4 + 1\right)}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{2 \cdot 2 \cdot 5}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{4 \cdot 5}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{10000} \cdot \frac{1}{20}\\& = \frac{5326}{10000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{200000}\\& = \frac{2663}{5000} \cdot -1 \cdot \frac{5326}{10000} \cdot \frac{5326}{200000}\\& = - \frac{2663}{5000} \cdot \frac{5326}{10000} \cdot \frac{5326}{200000}\\& = - \frac{7091569}{2500} \cdot \frac{5326}{10000} \cdot \frac{1}{200000}\\& = - \frac{7091569}{25000000} \cdot \frac{5326}{200000}\\& = - \frac{18884848247}{12500000} \cdot \frac{1}{200000}\\& = - \frac{18884848247}{2500000000000}\end{aligned}\]

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