化简 (a^3b^5)^7

解答

化简

(a^{3} b^{5})^{7}

a^{21} b^{35}

求解步骤

(a^{3} b^{5})^{7}

使用指数法则:

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

(a^{3} b^{5})^{7} = (a^{3})^{7} (b^{5})^{7}

= (a^{3})^{7} (b^{5})^{7}

化简

(a^{3})^{7} : a^{21}

= a^{21} (b^{5})^{7}

化简

(b^{5})^{7} : b^{35}

= a^{21} b^{35}

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