I.- Operaciones exponentes fraccionarios o negativos

A continuación se proponen ejercicios para practicar operaciones con exponentes fraccionarios o negativos en expresiones algebraicas. Estos ejercicios te ayudarán a aplicar las reglas de exponentes y reforzar tu comprensión paso a paso.

761.

$\large \frac{c}{b^{3}d^{2}}\, .\, \frac{b^{2}}{a^{-4}c^{2}}$

762.

$\large 3a^{-2}b^{-3}.\, 5a^{-3}b^{-4}$

763.

$\large 4a^{-3}b^{2}.\, 6a^{2}b^{-4}$

764.

$\large 3a^{2}\, b^{\frac{2}{3}}\, c^{\frac{1}{2}}.\, 5a^{\frac{3}{5}}\, b^{\frac{4}{3}}c$

765.

$\large -2a^{\frac{1}{2}}\, bc^{\frac{3}{4}}.\, 4a^{\frac{2}{3}}\, b^{\frac{1}{4}}\, c^{\frac{1}{5}}$

766.

$\large a^{\frac{3}{5}}.\, a^{\frac{1}{3}}.\, a^{\frac{3}{4}}$

767.

$\large b^{\frac{1}{4}}.\, b^{\frac{5}{6}}.\, b^{\frac{2}{3}}$

768.

$\large a^{\frac{3}{5}}.\, a^{\frac{2}{3}}$

769.

$\large a^{-\frac{3}{4}}.\, a^{\frac{5}{6}}$

770.

$\large \sqrt[4]{a^{\frac{1}{27}}.\sqrt[6]{a^{5}}}$

771.

$\large 20a^{\frac{2}{5}}\, bc^{2}:5a^{\frac{1}{3}}\, b^{\frac{1}{2}}\, c^{\frac{3}{4}}$

772.

$\large (6a^{2}b^{\frac{4}{3}}-4ab^{2}+12a^{3}b^{\frac{5}{2}}):2a^{\frac{1}{2}}\, b$

773.

$\large a:a^{\frac{2}{3}}$

774.

$\large a^{\frac{3}{2}}:a^{\frac{1}{2}}$

775.

$\large a^{\frac{1}{2}}:a^{\frac{1}{3}}$

776.

$\large (5a^{2}b^{\frac{2}{3}}\, c^{\frac{1}{2}})^{2}$

777.

$\large (-a^{\frac{2}{3}}\, b^{\frac{1}{4}}c^{2})^{\frac{3}{2}}$

778.

$\large a^{\frac{2}{3}}:a^{\frac{3}{4}}$

779.

$\large (a^{\frac{2}{3}}+a^{2}\, b^{\frac{1}{4}})^{2}$

780.

$\large a^{\frac{3}{4}}\, b^{-\frac{1}{2}}\, c^{-1}.\, a^{2}b^{\frac{2}{3}}\, c^{\frac{3}{5}}$

781.

$\large \sqrt{25a^{\frac{2}{3}}\, b^{\frac{1}{4}}\, c^{\frac{3}{5}}}$

782.

$\large \sqrt[3]{-8a^{\frac{2}{3}}\, b^{\frac{1}{4}}\, c^{\frac{2}{5}}}$

783.

$\large 3a^{-2}\, b^{\frac{2}{3}}.\, 2a^{-\frac{4}{5}}\, b^{\frac{1}{2}}\, c^{2}$

784.

$\large a^{\frac{3}{4}}:a^{\frac{4}{5}}$

785.

$\large a^{\frac{2}{5}}\, b^{\frac{3}{4}}:a^{-\frac{1}{2}}\, b^{\frac{7}{8}}$

786.

$\large (a^{\frac{3}{4}})^{5}$

787.

$\large (b^{-\frac{5}{6}})^{12}$

788.

$\large (2a^{-\frac{1}{2}}\, b^{\frac{3}{4}})^{6}$

789.

$\large (a^{\frac{2}{3}})^{\frac{3}{2}}$

790.

$\large \sqrt[3]{a^{\frac{2}{3}}}$

791.

$\large \sqrt{b^{-\frac{3}{4}}}$

792.

$\large \sqrt[3]{a^{\frac{3}{5}}\, b^{-2}}$

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