整式的简便运算1.8^3×（1/4)^42.(-1/8)^3×2^93.2^4×4^3×(-0.125)^44.(0.04)^2006×[(-5)^2006]^2要有过程的.

Question

整式的简便运算
1. 8^3×（1/4)^4
2.(-1/8)^3×2^9
3.2^4×4^3×(-0.125)^4
4.(0.04)^2006×[(-5)^2006]^2
要有过程的.

Answer 1

1.8^3×（1/4)^4
=2^9×(2^(-8))
=2
2.(-1/8)^3×2^9
=-(2^(-9))×2^9
=-1
3.2^4×4^3×(-0.125)^4
=2^4×2^6×2^(-12)
=1/4
4.(0.04)^2006×[(-5)^2006]^2
=(0.04*5*5)^2006
=1