展開する ((2/16)^7*(16/2)^{-5})^{1/6}

解

展開する

((\frac{2}{16})^{7} \cdot (\frac{16}{2})^{- 5})^{\frac{1}{6}}

((\frac{2}{16})^{7})^{\frac{1}{6}} ((\frac{16}{2})^{- 5})^{\frac{1}{6}}

十進法表記

0.015625

解答ステップ

((\frac{2}{16})^{7} (\frac{16}{2})^{- 5})^{\frac{1}{6}}

指数の規則を適用する:

(ab)^{c} = a^{c} b^{c}

((\frac{2}{16})^{7} (\frac{16}{2})^{- 5})^{\frac{1}{6}} = ((\frac{2}{16})^{7})^{\frac{1}{6}} ((\frac{16}{2})^{- 5})^{\frac{1}{6}}

= ((\frac{2}{16})^{7})^{\frac{1}{6}} ((\frac{16}{2})^{- 5})^{\frac{1}{6}}