簡約-98(64)^{11/6}

解

簡約

- 98 (64)^{\frac{11}{6}}

- 200704

解答ステップ

- 98 \cdot 6 4^{\frac{11}{6}}

数を因数に分解する:

64 = 2^{6}

= - 98 (2^{6})^{\frac{11}{6}}

指数の規則を適用する:

(a^{b})^{c} = a^{b c}, a \geq 0

(2^{6})^{\frac{11}{6}} = 2^{6 \cdot \frac{11}{6}}

= - 98 \cdot 2^{6 \cdot \frac{11}{6}}

6 \cdot \frac{11}{6} = 11

= - 98 \cdot 2^{11}

2^{11} = 2048

= - 98 \cdot 2048

数を乗じる:

- 98 \cdot 2048 = - 200704

= - 200704