Ejercicios sección 2.2

En los ejercicios los ejercicios 1 al 10, realice las operaciones indicads y simplifique

  1. 9x6y4z2+256x24y16z88x12y8z44\hspace{0.1cm}\sqrt{9x^6y^4z^2}+\sqrt[8]{256x^{24}y^{16}z^8}-\sqrt[4]{x^{12}y^8z^4}\\[0.2cm]
  2. m3opmn2p2+nm7o2m3n5op\hspace{0.1cm}\sqrt{\cfrac{m^3op}{mn^2p^2}}+\sqrt{\cfrac{nm^7o^2}{m^3n^5op}}\\[0.2cm]
  3. 1xxy24+3y14x1xxy2\hspace{0.1cm}\cfrac{1}{x}\sqrt{\cfrac{xy^2}{4}}+3y\sqrt{\cfrac{1}{4x}}-\cfrac{1}{x}\sqrt{xy^2}\\[0.2cm]
  4. 4m4n+81(mn)24+4096(mn)36\hspace{0.1cm}\sqrt{4m-4n}+\sqrt[4]{81\left(m-n\right)^2}+\sqrt[6]{4096\cdot\left(m-n\right)^3}\\[0.2cm]
  5. yzww6yz3y2zw4w2yx2z+z2y2x4y3z4\hspace{0.1cm}\cfrac{yz}{w}\sqrt{\cfrac{w^6}{yz^3}}-\cfrac{y^2z}{w}\sqrt{\cfrac{4w^2y}{x^2z}}+\cfrac{z^2}{y^2}\sqrt{\cfrac{x^4y^3}{z^4}}\\[0.2cm]
  1. ababmm1\hspace{0.1cm}\sqrt[m-1]{\cfrac{ab}{\sqrt[m]{ab}}}\\[0.2cm]
  2. 10103\hspace{0.1cm}\sqrt{\cfrac{10}{\sqrt[3]{10}}}\\[0.2cm]
  3. 1419x\hspace{0.1cm}\sqrt {\dfrac {1}{4}\sqrt {\dfrac {1}{9}\sqrt {x}}}\\[0.2cm]
  4. (x2y253)10\hspace{0.1cm}\left( \sqrt [3] {\sqrt [5] {\sqrt {x^{2}y^{2}}}}\right) ^{10}\\[0.2cm]
  5. (1xxy24+3y14x1xxy2)×[(x2y253)10]\hspace{0.1cm}\hspace{0.1cm}\left(\cfrac{1}{x}\sqrt{\cfrac{xy^2}{4}}+3y\sqrt{\cfrac{1}{4x}}-\cfrac{1}{x}\sqrt{xy^2}\right)\times\left[\left( \sqrt [3] {\sqrt [5] {\sqrt {x^{2}y^{2}}}}\right) ^{10}\right]\\[0.2cm]