化简 2(13(42/13)^{2/3}+2*42^{2/3}\sqrt[3]{13})

解答

化简

2 (13 (\frac{42}{13})^{\frac{2}{3}} + 2 \cdot 4 2^{\frac{2}{3}} 313)

26 (\frac{1764}{169})^{\frac{1}{3}} + 4 2^{\frac{2}{3}} \cdot 4313

十进制

170.46369 \dots

求解步骤

2 (13 (\frac{42}{13})^{\frac{2}{3}} + 2 \cdot 4 2^{\frac{2}{3}} 313)

(\frac{42}{13})^{\frac{2}{3}} = (\frac{1764}{169})^{\frac{1}{3}}

= 2 (13 (\frac{1764}{169})^{\frac{1}{3}} + 2 \cdot 4 2^{\frac{2}{3}} 313)

展开

2 (13 (\frac{1764}{169})^{\frac{1}{3}} + 2 \cdot 4 2^{\frac{2}{3}} 313) : 26 (\frac{1764}{169})^{\frac{1}{3}} + 4 2^{\frac{2}{3}} \cdot 4313

= 26 (\frac{1764}{169})^{\frac{1}{3}} + 4 2^{\frac{2}{3}} \cdot 4313

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