化简 (4w)^6(4w)^3

解答

化简

(4 w)^{6} (4 w)^{3}

262144 w^{9}

求解步骤

(4 w)^{6} (4 w)^{3}

使用指数法则:

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

(4 w)^{6} (4 w)^{3} = (4 w)^{6 + 3}

= (4 w)^{6 + 3}

数字相加:

6 + 3 = 9

= (4 w)^{9}

使用指数法则:

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

(4 w)^{9} = 4^{9} w^{9}

= 4^{9} w^{9}

4^{9} = 262144

= 262144 w^{9}

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