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受欢迎的代数 >

化简-1/(4(4)^{3/2)}

解答

化简

- \frac{1}{4 ( 4 ) ^{\frac{3}{2}}}

解答

- \frac{1}{32}

+1

十进制

- 0.03125

求解步骤

- \frac{1}{4 \cdot 4 ^{\frac{3}{2}}}

使用指数法则:

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

4 \cdot 4^{\frac{3}{2}} = 4^{1 + \frac{3}{2}}

= - \frac{1}{4 ^{1 + \frac{3}{2}}}

1 + \frac{3}{2} = \frac{5}{2}

= - \frac{1}{4 ^{\frac{5}{2}}}

因式分解数字:

4 = 2^{2}

= - \frac{1}{( 2 ^{2} ) ^{\frac{5}{2}}}

使用指数法则:

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

(2^{2})^{\frac{5}{2}} = 2^{2 \cdot \frac{5}{2}}

= - \frac{1}{2 ^{2 \cdot \frac{5}{2}}}

2 \cdot \frac{5}{2} = 5

= - \frac{1}{2 ^{5}}

2^{5} = 32

= - \frac{1}{32}

流行的例子

- \frac{x}{10} = 11

2 x + 0.1 = x

化简 (6x)^{3/2}

s im pl i f y (6 x)^{\frac{3}{2}}

4(x+2)-6(x-7)=x+4

4 (x + 2) - 6 (x - 7) = x + 4

3 x + 3 < - 3