高中数学题,计算题!!
希望你能看懂。1.(25r四次方分之16S²平方t负六次方)负3/2次方2。(-2x1/4次方y-1/3次方)(3x-1/2次方y2/3次方)(-4x1/4次方...
希望你能看懂。1.(25r四次方分之16S²平方t负六次方)负3/2次方
2。(-2x1/4次方y-1/3次方)(3x-1/2次方y2/3次方)(-4x1/4次方y2/3次方)
3.(2x1/2次方+3y-1/4次方)(2x1/2次方-3y-1/4次方)
4.4x1/4次方(-3x1/4次方y-1/3次方)/(-6x-1/2次方y-2/3次方) 展开
2。(-2x1/4次方y-1/3次方)(3x-1/2次方y2/3次方)(-4x1/4次方y2/3次方)
3.(2x1/2次方+3y-1/4次方)(2x1/2次方-3y-1/4次方)
4.4x1/4次方(-3x1/4次方y-1/3次方)/(-6x-1/2次方y-2/3次方) 展开
1个回答
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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);
=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);
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