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Mathematical calculation:
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    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 2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17 .
    Question type: Mathematical calculation
    Solution:
          2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+2^4+2^5+2^6+2^7+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+2^5+2^6+2^7+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+2^6+2^7+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+64+2^7+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+64+128+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+64+128+256+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+64+128+256+512+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+64+128+256+512+1024+2^11+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+64+128+256+512+1024+2048+2^12+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+64+128+256+512+1024+2048+4096+2^13+2^14+2^15+2^16+2^17
        =4+8+16+32+64+128+256+512+1024+2048+4096+8192+2^14+2^15+2^16+2^17
        =4+8+16+32+64+128+256+512+1024+2048+4096+8192+16384+2^15+2^16+2^17
        =4+8+16+32+64+128+256+512+1024+2048+4096+8192+16384+32768+2^16+2^17
        =4+8+16+32+64+128+256+512+1024+2048+4096+8192+16384+32768+65536+2^17
        =4+8+16+32+64+128+256+512+1024+2048+4096+8192+16384+32768+65536+131072
        =12+16+32+64+128+256+512+1024+2048+4096+8192+16384+32768+65536+131072
        =28+32+64+128+256+512+1024+2048+4096+8192+16384+32768+65536+131072
        =60+64+128+256+512+1024+2048+4096+8192+16384+32768+65536+131072
        =124+128+256+512+1024+2048+4096+8192+16384+32768+65536+131072
        =252+256+512+1024+2048+4096+8192+16384+32768+65536+131072
        =508+512+1024+2048+4096+8192+16384+32768+65536+131072
        =1020+1024+2048+4096+8192+16384+32768+65536+131072
        =2044+2048+4096+8192+16384+32768+65536+131072
        =4092+4096+8192+16384+32768+65536+131072
        =8188+8192+16384+32768+65536+131072
        =16380+16384+32768+65536+131072
        =32764+32768+65536+131072
        =65532+65536+131072
        =131068+131072
        =262140

    Answer:2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10+2^11+2^12+2^13+2^14+2^15+2^16+2^17=262140


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