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受欢迎的代数 >

化简 3^{5/6}*243^{5/6}

解答

化简

3^{\frac{5}{6}} \cdot 24 3^{\frac{5}{6}}

解答

243

求解步骤

3^{\frac{5}{6}} \cdot 24 3^{\frac{5}{6}}

使用指数法则:

a^{m} b^{m} = (ab)^{m}

3^{\frac{5}{6}} \cdot 24 3^{\frac{5}{6}} = (3 \cdot 243)^{\frac{5}{6}}

= (3 \cdot 243)^{\frac{5}{6}}

数字相乘:

3 \cdot 243 = 729

= 72 9^{\frac{5}{6}}

因式分解数字:

729 = 3^{6}

= (3^{6})^{\frac{5}{6}}

使用指数法则:

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

(3^{6})^{\frac{5}{6}} = 3^{6 \cdot \frac{5}{6}} = 3^{5}

= 3^{5}

整理后得

= 243

流行的例子

化简 ((b^4)(b^5))/(b^{10)}

s im pl i f y \frac{( b ^{4} ) ( b ^{5} )}{b ^{10}}

15 + 12 x^{2} \leq 28 x

-1<= (x-4)/4 < 1/2

- 1 \leq \frac{x - 4}{4} < \frac{1}{2}

(x+7)/6 >(4x-6)/7

\frac{x + 7}{6} > \frac{4 x - 6}{7}

m^{2} + 4 m - 2 = 0