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人気のある代数 >

(7^2)^4=n^8

解

(7^{2})^{4} = n^{8}

解

n = 49, n = - 49, n = 7 i, n = - 7 i, n = \frac{7}{2} + \frac{7}{2} i, n = - \frac{7}{2} - \frac{7}{2} i, n = \frac{7}{2} - \frac{7}{2} i, n = - \frac{7}{2} + \frac{7}{2} i

解答ステップ

(7^{2})^{4} = n^{8}

辺を交換する

n^{8} = (7^{2})^{4}

簡素化

(7^{2})^{4} : 5764801

equationを

u = n^{2}

と以下で書き換える:

u^{4} = n^{8}

u^{4} = 5764801

解く

u^{4} = 5764801 : u = 49, u = - 49, u = 49 i, u = - 49 i

u = 49, u = - 49, u = 49 i, u = - 49 i

再び

u = n^{2}

に置き換えて以下を解く:

n

解く

n^{2} = 49 : n = 49, n = - 49

解く

n^{2} = - 49 : n = 7 i, n = - 7 i

解く

n^{2} = 49 i : n = \frac{7}{2} + \frac{7}{2} i, n = - \frac{7}{2} - \frac{7}{2} i

解く

n^{2} = - 49 i : n = \frac{7}{2} - \frac{7}{2} i, n = - \frac{7}{2} + \frac{7}{2} i

解答は

n = 49, n = - 49, n = 7 i, n = - 7 i, n = \frac{7}{2} + \frac{7}{2} i, n = - \frac{7}{2} - \frac{7}{2} i, n = \frac{7}{2} - \frac{7}{2} i, n = - \frac{7}{2} + \frac{7}{2} i

グラフ

人気の例

5y(3-y)(4y+1)^2=0

5 y (3 - y) (4 y + 1)^{2} = 0

x^{3} - x^{2} - x - 1 = 0

-x^3+2x^2+x-2=0

- x^{3} + 2 x^{2} + x - 2 = 0

x^{3} + x + 2 = 0

x^{4} = x^{2}