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受欢迎的 Word Problems >

27^{4/3} :Enter an 恰当 number.

解答

化简

2 7^{\frac{4}{3}}

解答

81

求解步骤

2 7^{\frac{4}{3}}

因式分解数字:

27 = 3^{3}

= (3^{3})^{\frac{4}{3}}

使用指数法则:

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

= 3^{3 \cdot \frac{4}{3}}

3 \cdot \frac{4}{3} = 4

= 3^{4}

3^{4} = 81

= 81

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