Question

Por favor me ayudan. Gracias. Urgente

Answer 1

Respuesta:

Explicación paso a paso:

1)   $\frac{2}{9ab^{3}x^{2} } \sqrt[3]{81a^{3}b^{13}x^{10} }$

    $\frac{2}{9ab^{3}x^{2} } \sqrt[3]{81}\sqrt[3]{a^{3}}\sqrt[3]{b^{13} } \sqrt[3]{x^{10}}$

    $\frac{2}{9ab^{3}x^{2} } \sqrt[3]{3^{3}.3 }\sqrt[3]{a^{3}}\sqrt[3]{b^{12}.b } \sqrt[3]{x^{9}.x}$

    $\frac{2}{9ab^{3}x^{2} } 3.\sqrt[3]{3 }.a.b^{4}. \sqrt[3]{b }.x^{3}.\sqrt[3]{x}$

    $\frac{2.3.a.b^{4}.x^{3}}{9ab^{3}x^{2} }\sqrt[3]{3 }.\sqrt[3]{b }.\sqrt[3]{x}$

    $\frac{2.b.x}{3a}\sqrt[3]{3.b.x}$

2)   $\frac{1}{8}\sqrt{24}-\frac{1}{116}\sqrt{54}-\frac{1}{8}\sqrt{294}$

     $\frac{1}{8}\sqrt{4.6}-\frac{1}{116}\sqrt{9.6}-\frac{1}{8}\sqrt{49.6}$

     $\frac{1}{8}\sqrt{4}.\sqrt{6} -\frac{1}{116}\sqrt{9}.\sqrt{6}-\frac{1}{8}\sqrt{49}\sqrt{6}$

     $\frac{2}{8}\sqrt{6} -\frac{3}{116}\sqrt{6}-\frac{7}{8}\sqrt{6}$

     $\frac{2.29-3.2-7.29}{232}\sqrt{6}$

     $\frac{58-6-203}{232}\sqrt{6}$

     $\frac{-151}{232}\sqrt{6}$

3)   $\frac{\sqrt[4]{2000x^{9}y^{2}z^{10} }}{10x^{3}yz^{2} }$

     $\frac{\sqrt[4]{16.125 }\sqrt[4]{x^{8}.x}\sqrt[4]{y^{2}}\sqrt[4]{z^{8}.z^{2}}}{10x^{3}yz^{2} }$

     $\frac{2\sqrt[4]{125}.x^{2}.\sqrt[4]{x}\sqrt[4]{y^{2}}.z^{2}.\sqrt[4]{z^{2}}}{10x^{3}yz^{2} }$

     $\frac{2x^{2}z^{2}.\sqrt[4]{125}.\sqrt[4]{x}\sqrt[4]{y^{2}}.\sqrt[4]{z^{2}}}{10x^{3}yz^{2} }$

     $\frac{\sqrt[4]{125xy^{2}z^{2}}}{5xy}$

4)   $\frac{2}{18ab^{3}x^{2}}\sqrt[5]{243a^{3}b^{13}x^{10}}$

     $\frac{2}{18ab^{3}x^{2}}\sqrt[5]{243}\sqrt[5]{a^{3}}\sqrt[5]{b^{10}b^{3} }\sqrt[5]{x^{10}}$

     $\frac{2.3.b^{2}x^{2} }{18ab^{3}x^{2}}\sqrt[5]{a^{3}}\sqrt[5]{b^{3} }}$

     $\frac{1}{3ab}\sqrt[5]{a^{3}b^{3} }}$

5)   $\frac{1}{8}\sqrt{600}-\frac{1}{12}\sqrt{54}-\frac{1}{8} \sqrt{216}$

     $\frac{1}{8}\sqrt{100.6}-\frac{1}{12}\sqrt{9.6}-\frac{1}{8} \sqrt{36.6}$

     $\frac{1}{8}\sqrt{100}\sqrt{6} -\frac{1}{12}\sqrt{9}\sqrt{6} -\frac{1}{8} \sqrt{36}\sqrt{6}$

     $\frac{10}{8}\sqrt{6} -\frac{3}{12}\sqrt{6} -\frac{6}{8}\sqrt{6}$

     $\frac{10.3-3.2-6.3}{24}\sqrt{6}$

     $\frac{30-6-18}{24}\sqrt{6}$

     $\frac{6}{24}\sqrt{6}$

     $\frac{1}{4}\sqrt{6}$

6)   $\frac{\sqrt[4]{2560x^{12}y^{2}z^{13} } }{10x^{3}yz^{2} }$

     $\frac{\sqrt[4]{256.10 }\sqrt[4]{x^{12}}\sqrt[4]{y^{2}}\sqrt[4]{z^{12}.z}}{10x^{3}yz^{2} }$

     $\frac{\sqrt[4]{256}\sqrt[4]{10}\sqrt[4]{x^{12}}\sqrt[4]{y^{2}}\sqrt[4]{z^{12}}\sqrt[4]{z} }{10x^{3}yz^{2} }$

     $\frac{4x^{3}z^{3} \sqrt[4]{10}\sqrt[4]{y^{2}}\sqrt[4]{z} }{10x^{3}yz^{2} }$

     $\frac{4x^{3}z^{3} \sqrt[4]{10.y^{2}.z} }{10x^{3}yz^{2} }$

     $\frac{2z \sqrt[4]{10.y^{2}.z} }{5y}$