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受欢迎的代数 >

化简 27^{3/2}

解答

化简

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

解答

81 \cdot 3^{\frac{1}{2}}

+1

十进制

140.29611 \dots

求解步骤

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

27

质因数分解:

3^{3}

= (3^{3})^{\frac{3}{2}}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

3^{3} = 3^{2} \cdot 3

= (3^{2} \cdot 3)^{\frac{3}{2}}

使用指数法则:

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

(3^{2} \cdot 3)^{\frac{3}{2}} = (3^{2})^{\frac{3}{2}} \cdot 3^{\frac{3}{2}}

= (3^{2})^{\frac{3}{2}} \cdot 3^{\frac{3}{2}}

(3^{2})^{\frac{3}{2}} = 27

= 27 \cdot 3^{\frac{3}{2}}

3^{\frac{3}{2}} = 3 \cdot 3^{\frac{1}{2}}

= 27 \cdot 3 \cdot 3^{\frac{1}{2}}

数字相乘:

27 \cdot 3 = 81

= 81 \cdot 3^{\frac{1}{2}}

流行的例子

x^{2} \leq 81

(p+1)^2+5(p+1)=0

(p + 1)^{2} + 5 (p + 1) = 0

2 r \leq - 8

4 x - 3 = 5 x + 6

((9x-11)(2x+7))/((3x-8)^3)>0

\frac{( 9 x - 11 ) ( 2 x + 7 )}{( 3 x - 8 ) ^{3}} > 0