化简 15.606(1.05)^{-3/4}

解答

化简

15.606 (1.05)^{- \frac{3}{4}}

\frac{50 0 ^{\frac{1}{4}} \cdot 31.212}{926 1 ^{\frac{1}{4}}}

十进制

15.04525 \dots

求解步骤

15.606 \cdot 1.0 5^{- \frac{3}{4}}

使用指数法则:

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

1.0 5^{- \frac{3}{4}} = \frac{1}{1.0 5 ^{\frac{3}{4}}}

= 15.606 \cdot \frac{1}{1.0 5 ^{\frac{3}{4}}}

1.05 = \frac{21}{20}

= 15.606 \cdot \frac{1}{( \frac{21}{20} ) ^{\frac{3}{4}}}

\frac{1}{( \frac{21}{20} ) ^{\frac{3}{4}}} = \frac{2 \cdot 50 0 ^{\frac{1}{4}}}{926 1 ^{\frac{1}{4}}}

= 15.606 \cdot \frac{2 \cdot 50 0 ^{\frac{1}{4}}}{926 1 ^{\frac{1}{4}}}

15.606 \cdot \frac{2 \cdot 50 0 ^{\frac{1}{4}}}{926 1 ^{\frac{1}{4}}} = \frac{50 0 ^{\frac{1}{4}} \cdot 31.212}{926 1 ^{\frac{1}{4}}}

= \frac{50 0 ^{\frac{1}{4}} \cdot 31.212}{926 1 ^{\frac{1}{4}}}

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