化简 1/2 ((500)(0.1))^2

解答

化简

\frac{1}{2} ((500) (0.1))^{2}

1250

求解步骤

\frac{1}{2} ((500) (0.1))^{2}

(500) (0.1) = 500 \cdot 0.1

= \frac{1}{2} (500 \cdot 0.1)^{2}

使用指数法则:

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

(500 \cdot 0.1)^{2} = 50 0^{2} \cdot 0. 1^{2}

= \frac{1}{2} \cdot 50 0^{2} \cdot 0. 1^{2}

0. 1^{2} = 0.01

= \frac{1}{2} \cdot 50 0^{2} \cdot 0.01

50 0^{2} \cdot 0.01 = 2500

= \frac{1}{2} \cdot 2500

\frac{1}{2} \cdot 2500 = 1250

= 1250

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