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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
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 0.2*(100000-1000)^(2/3)+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3) .
Question type: Mathematical calculation
Solution:
0.2*(100000-1000)^(2/3)+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^(2/3)+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^0.666667+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^0.666667+0.3*99800^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^0.666667+0.3*99800^0.666667+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^0.666667+0.3*99800^0.666667+0.3*100000^0.666667
=0.2*2140.05595250155784+0.2*99200^0.666667+0.3*99800^0.666667+0.3*100000^0.666667
=0.2*2140.05595250155784+0.2*2142.937214604633482+0.3*99800^0.666667+0.3*100000^0.666667
=0.2*2140.05595250155784+0.2*2142.937214604633482+0.3*2151.569407567603776+0.3*100000^0.666667
=0.2*2140.05595250155784+0.2*2142.937214604633482+0.3*2151.569407567603776+0.3*2154.442957996417135
=428.011191+0.2*2142.937214604633482+0.3*2151.569407567603776+0.3*2154.442957996417135
=428.011191+428.587443+0.3*2151.569407567603776+0.3*2154.442957996417135
=428.011191+428.587443+645.470822+0.3*2154.442957996417135
=428.011191+428.587443+645.470822+646.332887
=856.598634+645.470822+646.332887
=1502.069456+646.332887
=2148.402343
Answer:0.2*(100000-1000)^(2/3)+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)=2148.402343
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 0.2*(100000-1000)^(2/3)+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3) .
Question type: Mathematical calculation
Solution:
0.2*(100000-1000)^(2/3)+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^(2/3)+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^0.666667+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^0.666667+0.3*99800^(2/3)+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^0.666667+0.3*99800^0.666667+0.3*100000^(2/3)
=0.2*99000^0.666667+0.2*99200^0.666667+0.3*99800^0.666667+0.3*100000^0.666667
=0.2*2140.05595250155784+0.2*99200^0.666667+0.3*99800^0.666667+0.3*100000^0.666667
=0.2*2140.05595250155784+0.2*2142.937214604633482+0.3*99800^0.666667+0.3*100000^0.666667
=0.2*2140.05595250155784+0.2*2142.937214604633482+0.3*2151.569407567603776+0.3*100000^0.666667
=0.2*2140.05595250155784+0.2*2142.937214604633482+0.3*2151.569407567603776+0.3*2154.442957996417135
=428.011191+0.2*2142.937214604633482+0.3*2151.569407567603776+0.3*2154.442957996417135
=428.011191+428.587443+0.3*2151.569407567603776+0.3*2154.442957996417135
=428.011191+428.587443+645.470822+0.3*2154.442957996417135
=428.011191+428.587443+645.470822+646.332887
=856.598634+645.470822+646.332887
=1502.069456+646.332887
=2148.402343
Answer:0.2*(100000-1000)^(2/3)+0.2*(100000-800)^(2/3)+0.3*(100000-200)^(2/3)+0.3*100000^(2/3)=2148.402343