计算 (2^{20}) 的过程可以通过逐步乘法来进行，具体步骤如下：

1. 定义：(2^{20}) 表示 2 乘以自身 20 次。

2. 分步计算：

   • 可以先计算一些较小的幂次，然后逐渐将结果平方，直到达到 (2^{20})。

3. 逐步计算：

   • (2^1 = 2)
   • (2^2 = 2 \times 2 = 4)
   • (2^3 = 2 \times 4 = 8)
   • (2^4 = 2 \times 8 = 16)
   • (2^5 = 2 \times 16 = 32)
   • (2^6 = 2 \times 32 = 64)
   • (2^7 = 2 \times 64 = 128)
   • (2^8 = 2 \times 128 = 256)
   • (2^9 = 2 \times 256 = 512)
   • (2^{10} = 2 \times 512 =1024)

4. 继续乘法： 接下来，可以利用已知的幂来继续计算到 (20):

   • ( (b) :

     • Calculate the next values by squaring:

     • [Step] :

       • $\( Using: \)$ a) : \quad (ab) ) :

       \ ( e.g ) = \

       \\ 
       

       Then ,\

       $$  
          So:      
           -----
             > Continue Calculating :
       
       
        Also, apply squaring:
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              \$\$             
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                  To calculate :
                   + continue doubling till reached
       
       
            ......
       
       
              Now:
       
       
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          Result is:
           ---
       
       
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               Finalization
       

       … so we finally reach:

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     gives us ;

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                            >
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                                      ===========================
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                                                 =
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                                                 ----------------------------
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                           _______<br/><br/><br/><font size=1 color=#CCCCCC>内容由零声教学AI助手提供，问题来源于学员提问</font>