1000^-2/3 + (1/27)^-4/3 -625^-0,75

Question

1000^-2/3 + (1/27)^-4/3 -625^-0,75

Answer 1

1000^-2/3 + (1/27)^-4/3 -625^-0,75=10^3(-2/3) + (1/3)^3(-4/3) -5^4(-1/4)=10^-2+3^-4-5^-1=1/100-1/81-1/5=-19/100-1/81=-1539/8100=-513/2700