化简 (1/(1x^{0.1)})^{-12}0.04

解答

化简

(\frac{1}{1 x ^{0.1}})^{- 12} 0.04

0.04 x^{1.2}

求解步骤

(\frac{1}{1 \cdot x ^{0.1}})^{- 12} \cdot 0.04

使用法则:

1 \cdot a = a

= (\frac{1}{x ^{0.1}})^{- 12} \cdot 0.04

= 0.04 (\frac{1}{x ^{0.1}})^{- 12}

使用指数法则:

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

(\frac{1}{x ^{0.1}})^{- 12} = \frac{1}{( \frac{1}{x ^{0.1}} ) ^{12}}

= 0.04 \cdot \frac{1}{( \frac{1}{x ^{0.1}} ) ^{12}}

化简

(\frac{1}{x ^{0.1}})^{12} : \frac{1}{x ^{1.2}}

= 0.04 \cdot \frac{1}{\frac{1}{x ^{1.2}}}

化简

\frac{1}{\frac{1}{x ^{1.2}}} : x^{1.2}

= 0.04 x^{1.2}

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