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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 C(4,0)*2^0+C(4,1)*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4 .
Question type: Mathematical calculation
Solution:
C(4,0)*2^0+C(4,1)*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4
=1*2^0+C(4,1)*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4
=1*2^0+4*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4
=1*2^0+4*2^1+6*2^2+C(4,3)*2^3+C(4,4)*2^4
=1*2^0+4*2^1+6*2^2+4*2^3+C(4,4)*2^4
=1*2^0+4*2^1+6*2^2+4*2^3+1*2^4
=1*1+4*2^1+6*2^2+4*2^3+1*2^4
=1*1+4*2+6*2^2+4*2^3+1*2^4
=1*1+4*2+6*4+4*2^3+1*2^4
=1*1+4*2+6*4+4*8+1*2^4
=1*1+4*2+6*4+4*8+1*16
=1+4*2+6*4+4*8+1*16
=1+8+6*4+4*8+1*16
=1+8+24+4*8+1*16
=1+8+24+32+1*16
=1+8+24+32+16
=9+24+32+16
=33+32+16
=65+16
=81
Answer:C(4,0)*2^0+C(4,1)*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4=81
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation C(4,0)*2^0+C(4,1)*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4 .
Question type: Mathematical calculation
Solution:
C(4,0)*2^0+C(4,1)*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4
=1*2^0+C(4,1)*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4
=1*2^0+4*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4
=1*2^0+4*2^1+6*2^2+C(4,3)*2^3+C(4,4)*2^4
=1*2^0+4*2^1+6*2^2+4*2^3+C(4,4)*2^4
=1*2^0+4*2^1+6*2^2+4*2^3+1*2^4
=1*1+4*2^1+6*2^2+4*2^3+1*2^4
=1*1+4*2+6*2^2+4*2^3+1*2^4
=1*1+4*2+6*4+4*2^3+1*2^4
=1*1+4*2+6*4+4*8+1*2^4
=1*1+4*2+6*4+4*8+1*16
=1+4*2+6*4+4*8+1*16
=1+8+6*4+4*8+1*16
=1+8+24+4*8+1*16
=1+8+24+32+1*16
=1+8+24+32+16
=9+24+32+16
=33+32+16
=65+16
=81
Answer:C(4,0)*2^0+C(4,1)*2^1+C(4,2)*2^2+C(4,3)*2^3+C(4,4)*2^4=81