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受欢迎的代数 >

化简 (4m^2*n^3)^2

解答

化简

(4 m^{2} \cdot n^{3})^{2}

解答

16 m^{4} n^{6}

求解步骤

(4 m^{2} n^{3})^{2}

使用指数法则:

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

(4 m^{2} n^{3})^{2} = 4^{2} (m^{2})^{2} (n^{3})^{2}

= 4^{2} (m^{2})^{2} (n^{3})^{2}

4^{2} = 16

= 16 (m^{2})^{2} (n^{3})^{2}

化简

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

= 16 m^{4} (n^{3})^{2}

化简

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

= 16 m^{4} n^{6}

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