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受欢迎的代数 >

化简 12sqrt(1+(0.08)/4)^4

解答

化简

12 1 + \frac{0.08}{4}^{4}

解答

\frac{7803}{625}

+1

十进制

12.4848

求解步骤

12 (1 + \frac{0.08}{4})^{4}

将

4

改写为

2 \cdot 2

= 12 (1 + \frac{0.08}{4})^{2 \cdot 2}

使用指数法则:

a^{b c} = (a^{b})^{c}, a \geq 0

(1 + \frac{0.08}{4})^{2 \cdot 2} = (1 + \frac{0.08}{4})^{2}^{2}

= 12 (1 + \frac{0.08}{4})^{2}^{2}

使用指数法则:

(n a)^{n} = a, n i s o dd or a \geq 0

(1 + \frac{0.08}{4})^{2} = 1 + \frac{0.08}{4}

= 12 (1 + \frac{0.08}{4})^{2}

化简

1 + \frac{0.08}{4} : \frac{51}{50}

= 12 (\frac{51}{50})^{2}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{51}{50})^{2} = \frac{5 1 ^{2}}{5 0 ^{2}}

= 12 \cdot \frac{5 1 ^{2}}{5 0 ^{2}}

5 1^{2} = 2601

= 12 \cdot \frac{2601}{5 0 ^{2}}

5 0^{2} = 2500

= 12 \cdot \frac{2601}{2500}

12 \cdot \frac{2601}{2500} = \frac{7803}{625}

= \frac{7803}{625}

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