(3+1/3)(3ˆ2+1/3ˆ2)(3ˆ4+1/3ˆ4)(3ˆ8+1/3ˆ8)(3ˆ16+1/3ˆ16)

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  • (3+1/3)(3ˆ2+1/3ˆ2)(3ˆ4+1/3ˆ4)(3ˆ8+1/3ˆ8)(3ˆ16+1/3ˆ16)

    =(3/8)(3-1/3)(3+1/3)(3ˆ2+1/3ˆ2)(3ˆ4+1/3ˆ4)(3ˆ8+1/3ˆ8)(3ˆ16+1/3ˆ16)

    =(3/8)(3ˆ2-1/3ˆ2)(3ˆ4+1/3ˆ4)(3ˆ8+1/3ˆ8)(3ˆ16+1/3ˆ16)

    =(3/8)(3ˆ4-1/3ˆ4)(3ˆ8+1/3ˆ8)(3ˆ16+1/3ˆ16)

    =(3/8)(3ˆ8-1/3ˆ8)(3ˆ16+1/3ˆ16)

    =(3/8)(3ˆ16-1/3ˆ16).

    本题似乎没太大的意义!