簡約 (2^{2/3}*16^{2/3})/(4^{2/3)}

解

簡約

\frac{2 ^{\frac{2}{3}} \cdot 1 6 ^{\frac{2}{3}}}{4 ^{\frac{2}{3}}}

4

解答ステップ

\frac{2 ^{\frac{2}{3}} \cdot 1 6 ^{\frac{2}{3}}}{4 ^{\frac{2}{3}}}

因数

4^{\frac{2}{3}} : 2^{\frac{4}{3}}

= \frac{2 ^{\frac{2}{3}} \cdot 1 6 ^{\frac{2}{3}}}{2 ^{\frac{4}{3}}}

簡素化

\frac{2 ^{\frac{2}{3}}}{2 ^{\frac{4}{3}}} : \frac{1}{2 ^{\frac{2}{3}}}

= \frac{1 6 ^{\frac{2}{3}}}{2 ^{\frac{2}{3}}}

因数

1 6^{\frac{2}{3}} : 2^{\frac{8}{3}}

= \frac{2 ^{\frac{8}{3}}}{2 ^{\frac{2}{3}}}

簡素化

\frac{2 ^{\frac{8}{3}}}{2 ^{\frac{2}{3}}} : 2^{2}

= 2^{2}

2^{2} = 4

= 4