簡約 2^{-8/5}*16^{-8/5}

解

簡約

2^{- \frac{8}{5}} \cdot 1 6^{- \frac{8}{5}}

\frac{1}{2 ^{\frac{3}{5}} \cdot 1 6 ^{\frac{3}{5}} \cdot 32}

十進法表記

0.00390625

解答ステップ

2^{- \frac{8}{5}} \cdot 1 6^{- \frac{8}{5}}

2^{- \frac{8}{5}} = \frac{1}{2 \cdot 2 ^{\frac{3}{5}}}

= \frac{1}{2 \cdot 2 ^{\frac{3}{5}}} \cdot 1 6^{- \frac{8}{5}}

1 6^{- \frac{8}{5}} = \frac{1}{16 \cdot 1 6 ^{\frac{3}{5}}}

= \frac{1}{2 \cdot 2 ^{\frac{3}{5}}} \cdot \frac{1}{16 \cdot 1 6 ^{\frac{3}{5}}}

\frac{1}{2 \cdot 2 ^{\frac{3}{5}}} \cdot \frac{1}{16 \cdot 1 6 ^{\frac{3}{5}}} = \frac{1}{2 ^{\frac{3}{5}} \cdot 1 6 ^{\frac{3}{5}} \cdot 32}

= \frac{1}{2 ^{\frac{3}{5}} \cdot 1 6 ^{\frac{3}{5}} \cdot 32}