簡約 (5/7)^{10}*1.4^9

解

簡約

(\frac{5}{7})^{10} \cdot 1. 4^{9}

\frac{5}{7}

十進法表記

0.71428 \dots

解答ステップ

(\frac{5}{7})^{10} \cdot 1. 4^{9}

(\frac{5}{7})^{10} = \frac{9765625}{282475249}

= \frac{9765625}{282475249} \cdot 1. 4^{9}

1. 4^{9} = 20.66104 \dots

= \frac{9765625}{282475249} \cdot 20.66104 \dots

20.66104 \dots = \frac{40353607}{1953125}

= \frac{9765625}{282475249} \cdot \frac{40353607}{1953125}

\frac{9765625}{282475249} \cdot \frac{40353607}{1953125} = \frac{5}{7}

= \frac{5}{7}