化简 (2m^2)^3

解答

化简

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

8 m^{6}

求解步骤

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

使用指数法则:

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

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

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

2^{3} = 8

= 8 (m^{2})^{3}

使用指数法则:

(a^{b})^{c} = a^{b c},

假定

a \geq 0

(m^{2})^{3} = m^{2 \cdot 3}

= 8 m^{2 \cdot 3}

数字相乘:

2 \cdot 3 = 6

= 8 m^{6}

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