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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 2/9*2^(9/2)-8/7*2^(7/2)+12/5*2^(5/2)-8/3*2^(3/2)+2 .
Question type: Mathematical calculation
Solution:
2/9*2^(9/2)-8/7*2^(7/2)+12/5*2^(5/2)-8/3*2^(3/2)+2
=2/9*2^4.5-8/7*2^(7/2)+12/5*2^(5/2)-8/3*2^(3/2)+2
=2/9*2^4.5-8/7*2^3.5+12/5*2^(5/2)-8/3*2^(3/2)+2
=2/9*2^4.5-8/7*2^3.5+12/5*2^2.5-8/3*2^(3/2)+2
=2/9*2^4.5-8/7*2^3.5+12/5*2^2.5-8/3*2^1.5+2
=2/9*22.627416997969522-8/7*2^3.5+12/5*2^2.5-8/3*2^1.5+2
=2/9*22.627416997969522-8/7*11.313708498984761+12/5*2^2.5-8/3*2^1.5+2
=2/9*22.627416997969522-8/7*11.313708498984761+12/5*5.656854249492381-8/3*2^1.5+2
=2/9*22.627416997969522-8/7*11.313708498984761+12/5*5.656854249492381-8/3*2.82842712474619+2
=0.222222*22.627416997969522-8/7*11.313708498984761+12/5*5.656854249492381-8/3*2.82842712474619+2
=5.02831-8/7*11.313708498984761+12/5*5.656854249492381-8/3*2.82842712474619+2
=5.02831-1.142857*11.313708498984761+12/5*5.656854249492381-8/3*2.82842712474619+2
=5.02831-12.929951+12/5*5.656854249492381-8/3*2.82842712474619+2
=5.02831-12.929951+2.4*5.656854249492381-8/3*2.82842712474619+2
=5.02831-12.929951+13.57645-8/3*2.82842712474619+2
=5.02831-12.929951+13.57645-2.666667*2.82842712474619+2
=5.02831-12.929951+13.57645-7.542473+2
=-7.901641+13.57645-7.542473+2
=5.674809-7.542473+2
=-1.867664+2
=0.132336
Answer:2/9*2^(9/2)-8/7*2^(7/2)+12/5*2^(5/2)-8/3*2^(3/2)+2=0.132336
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 2/9*2^(9/2)-8/7*2^(7/2)+12/5*2^(5/2)-8/3*2^(3/2)+2 .
Question type: Mathematical calculation
Solution:
2/9*2^(9/2)-8/7*2^(7/2)+12/5*2^(5/2)-8/3*2^(3/2)+2
=2/9*2^4.5-8/7*2^(7/2)+12/5*2^(5/2)-8/3*2^(3/2)+2
=2/9*2^4.5-8/7*2^3.5+12/5*2^(5/2)-8/3*2^(3/2)+2
=2/9*2^4.5-8/7*2^3.5+12/5*2^2.5-8/3*2^(3/2)+2
=2/9*2^4.5-8/7*2^3.5+12/5*2^2.5-8/3*2^1.5+2
=2/9*22.627416997969522-8/7*2^3.5+12/5*2^2.5-8/3*2^1.5+2
=2/9*22.627416997969522-8/7*11.313708498984761+12/5*2^2.5-8/3*2^1.5+2
=2/9*22.627416997969522-8/7*11.313708498984761+12/5*5.656854249492381-8/3*2^1.5+2
=2/9*22.627416997969522-8/7*11.313708498984761+12/5*5.656854249492381-8/3*2.82842712474619+2
=0.222222*22.627416997969522-8/7*11.313708498984761+12/5*5.656854249492381-8/3*2.82842712474619+2
=5.02831-8/7*11.313708498984761+12/5*5.656854249492381-8/3*2.82842712474619+2
=5.02831-1.142857*11.313708498984761+12/5*5.656854249492381-8/3*2.82842712474619+2
=5.02831-12.929951+12/5*5.656854249492381-8/3*2.82842712474619+2
=5.02831-12.929951+2.4*5.656854249492381-8/3*2.82842712474619+2
=5.02831-12.929951+13.57645-8/3*2.82842712474619+2
=5.02831-12.929951+13.57645-2.666667*2.82842712474619+2
=5.02831-12.929951+13.57645-7.542473+2
=-7.901641+13.57645-7.542473+2
=5.674809-7.542473+2
=-1.867664+2
=0.132336
Answer:2/9*2^(9/2)-8/7*2^(7/2)+12/5*2^(5/2)-8/3*2^(3/2)+2=0.132336