化简 (\sqrt[6]{sqrt(s^{24)t^{36}u^{12}}})^2

解答

化简

(6 s^{24} t^{36} u^{12})^{2}

s^{4} t^{6} u^{2}

求解步骤

(6 s^{24} t^{36} u^{12})^{2}

化简

6 s^{24} t^{36} u^{12} : s^{2} t^{3} u

= (s^{2} t^{3} u)^{2}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(s^{2} t^{3} u)^{2} = (s^{2})^{2} (t^{3})^{2} u^{2}

= (s^{2})^{2} (t^{3})^{2} u^{2}

化简

(s^{2})^{2} : s^{4}

= s^{4} (t^{3})^{2} u^{2}

化简

(t^{3})^{2} : t^{6}

= s^{4} t^{6} u^{2}

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