(0.064)^-1/3-（-7/8）^0+[(-2)^3]^-4/3+16^-0.75+0.01^1/2

题目

(0.064)^-1/3-（-7/8）^0+[(-2)^3]^-4/3+16^-0.75+0.01^1/2

答案

(0.064)^(-1/3)-（-7/8）^0+[(-2)^3]^(-4/3)+16^(-0.75)+0.01^1/2
=(0.4^3)^(-1/3)-1+(-2)^[3*(-4/3)]+(2^4)^(-0.75)+(0.1^2)^1/2
=0.4^[3*(-1/3)]-1+(-2)^(-4)+2^(4*-0.75)+0.1^(2*1/2)
=0.4^(-1)-1+2^(-4)+2^(-3)+0.1
=(2/5)^(-1)-1+2^(-4)+2^(-3)+0.1
=5/2-1+(1/2)^4+(1/2)^3+1/10
=3/2+1/16+1/8+1/10
=24/16+1/16+2/16+1/10
=27/16+1/10
=135/80+8/80
=143/80