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高中数学必修 第一册(648题)


化简:(1) \({\left( {\frac{1}{8}} \right)^{ - \frac{1}{3}}} \times {\left( { - \frac{7}{6}} \right)^0} + {8^{0.25}} \times \sqrt[4]{2} + {(\sqrt[3]{2} \times \sqrt 3 )^6};\)

\(\frac{{5{x^{ - \frac{2}{3}}}{y^{\frac{1}{2}}}}}{{\left( { - \frac{1}{4}{x^{ - 1}}{y^{\frac{1}{2}}}} \right)\left( { - \frac{5}{6}{x^{\frac{1}{3}}}{y^{ - \frac{1}{6}}}} \right)}};\)



知识点:第四章 指数函数与对数函数


参考答案:

(1)原式= 

(2) \(\frac{{5{x^{ - \frac{2}{3}}}{y^{\frac{1}{2}}}}}{{\left( { - \frac{1}{4}{x^{ - 1}}{y^{\frac{1}{2}}}} \right)\left( { - \frac{5}{6}{x^{\frac{1}{3}}}{y^{ - \frac{1}{6}}}} \right)}} = 5 \times ( - 4) \times \left( { - \frac{6}{5}} \right) \times {x^{\left( { - \frac{2}{3}} \right) - ( - 1) - \frac{1}{3}}} \times {y^{\frac{1}{2} - \frac{1}{2} - ( - \frac{1}{6})}}\)

\( = 24{x^0}{y^{\frac{1}{6}}} = 24{y^{\frac{1}{6}}}.\)

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