m^{10}=25^{25^2}

解

m^{10} = 2 5^{2 5^{2}}

m = 2 5^{62} \cdot 5, m = - 2 5^{62} \cdot 5

十進法表記

m = 2.35099 E 87, m = - 2.35099 E 87

解答ステップ

m^{10} = 2 5^{2 5^{2}}

2 5^{2} = 625

m^{10} = 2 5^{625}

x^{n} = f (a)

の場合, n は偶数, 解は

x = n f (a), - n f (a)

m = 10 2 5^{625}, m = - 10 2 5^{625}

10 2 5^{625} = 2 5^{62} \cdot 5

- 10 2 5^{625} = - 2 5^{62} \cdot 5

m = 2 5^{62} \cdot 5, m = - 2 5^{62} \cdot 5