Question

高中数学计算题

Answer 1

1、{[16S2*t^(-6)]/[25*r^4]}^(-3/2)={[4S*t^(-3)]^2/[(5r^2)^2]}^(-3/2)={[4S*t^(-3)]/(5r^2)}^(-3) =t*[4S/(5r^2)]^(-3)=t*[(5r^2)/(4S)]^3=125t*r^6/(64S^3)； 2、[(-2x^(1/4)*y^(-1/3)]*[(3x^(-1/2))*y(2/3)]*[(-4x^(1/4))*y^(2/3) =(-2)*3*(-4)*x^[(1/4)+(-1/2)+(1/4)]*y^[(-1/3)+(2/3)+(2/3)] =24y； 3、[2x^(1/2)+3y^(-1/4)]*[2x^(1/2)-3y(-1/4)]=[2x^(1/2)]^2-[3y^(-1/4)]^2=4x-9/√y； 4、4x^(1/4)*(-3)*x^(1/4)*y(-1/3)/[(-6x^(-1/2)*(y^(-2/3))] =-12x^(1/2)*y(-1/3)/[-6x^(-1/2)*(y^(-2/3))] =2xy^(1/3)；