化简 0.272(8)^{-0.728}(305434)^{0.48}

解答

化简

0.272 (8)^{- 0.728} (305434)^{0.48}

30543 4^{0.48} \cdot \frac{34}{125 \cdot 8 ^{0.728}}

十进制

25.69684 \dots

求解步骤

0.272 \cdot 8^{- 0.728} \cdot 30543 4^{0.48}

使用指数法则:

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

8^{- 0.728} = \frac{1}{8 ^{0.728}}

= 0.272 \cdot \frac{1}{8 ^{0.728}} \cdot 30543 4^{0.48}

0.272 \cdot \frac{1}{8 ^{0.728}} \cdot 30543 4^{0.48} = \frac{0.272}{8 ^{0.728}} \cdot 30543 4^{0.48}

= \frac{0.272}{8 ^{0.728}} \cdot 30543 4^{0.48}

\frac{0.272}{8 ^{0.728}} = \frac{272}{1000 \cdot 8 ^{0.728}}

= \frac{272}{1000 \cdot 8 ^{0.728}} \cdot 30543 4^{0.48}

消掉

\frac{272}{1000 \cdot 8 ^{0.728}} : \frac{34}{125 \cdot 8 ^{0.728}}

= \frac{34}{125 \cdot 8 ^{0.728}} \cdot 30543 4^{0.48}

= 30543 4^{0.48} \cdot \frac{34}{125 \cdot 8 ^{0.728}}

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