化简 (5a^5)^2

解答

化简

(5 a^{5})^{2}

25 a^{10}

求解步骤

(5 a^{5})^{2}

使用指数法则:

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

(5 a^{5})^{2} = 5^{2} (a^{5})^{2}

= 5^{2} (a^{5})^{2}

5^{2} = 25

= 25 (a^{5})^{2}

使用指数法则:

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

假定

a \geq 0

(a^{5})^{2} = a^{5 \cdot 2}

= 25 a^{5 \cdot 2}

数字相乘:

5 \cdot 2 = 10

= 25 a^{10}

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