化简 0.0830(1+0.0001*30)^{-1/2}

解答

化简

0.08 \cdot 30 \cdot (1 + 0.0001 \cdot 30)^{- \frac{1}{2}}

\frac{1 0 ^{\frac{1}{2}} \cdot 24}{100 3 ^{\frac{1}{2}}}

十进制

2.39640 \dots

求解步骤

0.08 \cdot 30 (1 + 0.0001 \cdot 30)^{- \frac{1}{2}}

数字相乘:

0.08 \cdot 30 = 2.4

= 2.4 (1 + 0.0001 \cdot 30)^{- \frac{1}{2}}

使用指数法则:

a^{- b} = \frac{1}{a ^{b}}

(1 + 0.0001 \cdot 30)^{- \frac{1}{2}} = \frac{1}{( 1 + 0.0001 \cdot 30 ) ^{\frac{1}{2}}}

= 2.4 \cdot \frac{1}{( 1 + 0.0001 \cdot 30 ) ^{\frac{1}{2}}}

(1 + 0.0001 \cdot 30)^{\frac{1}{2}} = \frac{100 3 ^{\frac{1}{2}}}{10 \cdot 1 0 ^{\frac{1}{2}}}

= 2.4 \cdot \frac{1}{\frac{100 3 ^{\frac{1}{2}}}{10 \cdot 1 0 ^{\frac{1}{2}}}}

使用分式法则:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 2.4 \cdot \frac{10 \cdot 1 0 ^{\frac{1}{2}}}{100 3 ^{\frac{1}{2}}}

2.4 \cdot \frac{10 \cdot 1 0 ^{\frac{1}{2}}}{100 3 ^{\frac{1}{2}}} = \frac{1 0 ^{\frac{1}{2}} \cdot 24}{100 3 ^{\frac{1}{2}}}

= \frac{1 0 ^{\frac{1}{2}} \cdot 24}{100 3 ^{\frac{1}{2}}}

j o in 1 - x^{2} \cdot x^{2} - 1

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s im pl i f y 2 (214)

s im pl i f y (a + 3) \cdot (a - 3)