0.25^9*2^20*25^9*64^3
=((1/2)^2)^9 *2^20 * (5^2)^9*(2^6)^3
=(1/2)^18 *2^18 *2^2 *5^18*2^18
=2^2 *10^18
=4*10^18
2.(1)已知2^x+3*3^x+3=36^x-2,求x的值
需要再想想.
(2)已知n是正整数,且x^3n=2,求(3x^3n)^3+(—2x^2n)^3的值
(3x^3n)^3+(—2x^2n)^3
=3^3 *(x^3n)^3-2^3 *x^6n
=27*2^3-8(x^3n)^2
=27*8-8*4=23*8=184
3.当ab=1/2,m=5,n=3时,求(a^mb^m)^n的值
(a^mb^m)^n=((ab)^m)^n=((1/2)^5)^3=1/(2^15)