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  • (關(guān)于冪的乘方和積的乘方)

    (關(guān)于冪的乘方和積的乘方)
    計(jì)算:
    1.(m^2)^3 ·(2m)^4 ·(m)^2
    2.(-x^4)^5 +(x^10)^2 -3[(-x)^2]^4
    3.0.6a^2 ·1/4 a^2b^3 -(-10a^4)·b^3
    4.2/3(x-y)^3 ·9/4(x-y)^5 ·7/15(y-x)^8
    到底是誰(shuí)對(duì)啊?
    數(shù)學(xué)人氣:237 ℃時(shí)間:2020-04-12 21:48:37
    優(yōu)質(zhì)解答
    1.
    (m^2)^3 ·(2m)^4 ·(m)^2
    =(m^2*3)*2^4*m^4*m^2
    =m^6*2^4*m^4*m^2
    =m^(6+2+4)*2^4
    =16m^12
    3.
    0.6a^2 ·1/4 a^2b^3 -(-10a^4)*b^3
    =6/10a^2 ·1/4 a^2b^3 -(-10a^4)*b^3
    =6/10a^2 ·1/4 a^2b^3-(-10a^4*b^3)
    =6/10a^2 ·1/4 a^2b^3+10a^4*b^3
    =6/10*1/4*a^2*a^2*b^3+10a^4*b^3
    =3/20a^4b^3+10a^4*b^3
    =a^4*b^3(3/20+10)
    =10又3/20*a^4*b^3
    4.
    2/3(x-y)^3 ·9/4(x-y)^5 ·7/15(y-x)^8
    =2/3(x-y)^3 ·9/4(x-y)^5 ·7/15(x-y)^8
    =(2/3·9/4·7/15)·(x-y)^3·(x-y)^5 ·(x-y)^8
    =7/5*(x-y)^(3+5+8)
    =7/5*(x-y)^16
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