化简 (a^2*sqrt(a))^2

解答

化简

(a^{2} \cdot a)^{2}

a^{5}

求解步骤

(a^{2} a)^{2}

使用指数法则:

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

(a^{2} a)^{2} = (a^{2})^{2} (a)^{2}

= (a^{2})^{2} (a)^{2}

化简

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

= a^{4} (a)^{2}

(a)^{2} = a

= a^{4} a

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

a^{4} a = a^{4 + 1}

= a^{4 + 1}

数字相加:

4 + 1 = 5

= a^{5}

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