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Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation e^(-0.25^1/2)+e^(-0.25^1/2)*(-1/2)*0.25^(-1/2)*ln0.25 .
    Question type: Mathematical calculation
    Solution:
          e^(-0.25^1/2)+e^(-0.25^1/2)*(-1/2)*0.25^(-1/2)*ln0.25
        =e^(-0.125)+e^(-0.25^1/2)*(-1/2)*0.25^(-1/2)*ln0.25
        =e^-0.125+e^(-0.125)*(-1/2)*0.25^(-1/2)*ln0.25
        =e^-0.125+e^-0.125*(-0.5)*0.25^(-1/2)*ln0.25
        =e^-0.125+e^-0.125*(-0.5)*0.25^(-0.5)*ln0.25
        =2.718282^-0.125+e^-0.125*-0.5*0.25^-0.5*ln0.25
        =2.718282^-0.125+2.718282^-0.125*-0.5*0.25^-0.5*ln0.25
        =2.718282^-0.125+2.718282^-0.125*-0.5*0.25^-0.5*-1.386294
        =0.882496895623196+2.718282^(-0.125)*(-0.5)*0.25^(-0.5)*(-1.386294)
        =0.882496895623196+0.882496895623196*(-0.5)*0.25^(-0.5)*(-1.386294)
        =0.882496895623196+0.882496895623196*(-0.5)*2*(-1.386294)
        =0.882496895623196+(-0.441248)*2*(-1.386294)
        =0.882496895623196+(-0.882496)*(-1.386294)
        =0.882496895623196+1.223399
        =2.105896

    Answer:e^(-0.25^1/2)+e^(-0.25^1/2)*(-1/2)*0.25^(-1/2)*ln0.25=2.105896


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