范例:2^3表示2的3次方。
原式=(3×4)^10×0.25^10×(1/3)^9
=3^10×(1/3)^9×4^10×0.25^10
=3×(3×1/3)^9×(4×0.25)^10
=3×1×1
=3
原式=0.125^3×0.25^3×4^2×8^4
=(0.125^3×8^3)×(0.25^3×4^3)×8
=(0.125×8)^3×(0.25×4)^3×8
=8
(1)解:原式=(4×3)^10×(-1/4)^10×(1/3)^9
=[4^10×(-1/4)^10]×[3^10×(1/3)^9]
=1×3
=3
(2)解:原式=(1/8)^3×(1/4)^3×2^6×2^12
=(2^-3)^3×(2^-2)^3×2^(6+12)
=2^(-9)×2^(-6)×2^18
=2^[(-9)+(-6)+18]
=2^3
=8
12^10*(-0.25)^10*(1/3)^9=[12*(-1/4)]^10*3^(-9)=3^10*3^(-9)=3;
0.125^3*0.25^3*2^6*2^12=[(1/2)^3]^3*(1/4)^3*2^18=2^(-9)*2^(-6)*2^18=2^3=8
0.25 =(1/ 2)^2
所以原式=(3*4)^10 * (-(1/2)^2)^10 *(1/3)^9
=[(3^10)*(1/3)^9] *( 4^10) *(-1/2)^(20)
=3*(2^20)*(1/2)^20
=3
原式=(0.5^3)^3 *(0.5^2)^3 *2^18
=(2^-3)^3 *(2^-2)^3 *2^18
=2^(-9) * 2^(-6) *2^18
=2^3
=8
(1)原式=[4*(-0.25)]^10*3=3
(4)原式=(0.125*0.25*4*16)^3=[(0.125*16)*(0.25*4)]^3=[2*1]^3=8
花擦,12的10次方x(1/4)的10次方x(1/3)的9次方=12x1/4=3 第2题(1/8)的3次方x(1/4)的次方3x2的18次方=1/4 记得采纳啊