簡約 (2c^{3/5})(2c^{1/5})

解

簡約

(2 c^{\frac{3}{5}}) (2 c^{\frac{1}{5}})

4 c^{\frac{4}{5}}

解答ステップ

(2 c^{\frac{3}{5}}) (2 c^{\frac{1}{5}})

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2 = 2^{1 + 1}

= c^{\frac{3}{5}} \cdot 2^{1 + 1} c^{\frac{1}{5}}

数を足す:

1 + 1 = 2

= c^{\frac{3}{5}} \cdot 2^{2} c^{\frac{1}{5}}

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

c^{\frac{3}{5}} c^{\frac{1}{5}} = c^{\frac{3}{5} + \frac{1}{5}}

= 2^{2} c^{\frac{3}{5} + \frac{1}{5}}

分数を組み合わせる

\frac{3}{5} + \frac{1}{5} : \frac{4}{5}

= 2^{2} c^{\frac{4}{5}}

2^{2} = 4

= 4 c^{\frac{4}{5}}