(关于幂的乘方和积的乘方）
问题描述：
(关于幂的乘方和积的乘方）
计算：
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
到底是谁对啊?
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