运用幂的运算性质进行简便运算1.2^5x8^4x16^22.(-9)^3x(-2/3)^3x(1/3)^33.[(1/2

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  • 1.2^5x8^4x16^2

    =2^5x2^12x2^8

    =2^25

    2.(-9)^3x(-2/3)^3x(1/3)^3

    =3³x3³x(-2/3)^3x(1/3)^3

    =(-2/3x3)³x(3x1/3)³

    =-8

    3.[(1/2)^2]^3x(2^3)^2

    =(1/2)^6x2^6

    =(1/2x2)^6

    =1

    4.0.25^2013x4^2014-8^100x0.5^300

    =(0.25x4)^2013x4-(2x0.5)^300

    =4-1

    =3

    5.先化简,后求值:(-3a^2b)^3-8(a^2)^2x(-b)^2x(-a^2b)

    原式=-27a^6b³+8a^6b³

    =-19a^6b³

    =-19x1x(-1)

    =19