簡約 sqrt(\sqrt{16x^8y^{100)z^{36}}}

解

簡約

16 x^{8} y^{100} z^{36}

2 x^{2} y^{25} z^{9}

解答ステップ

16 x^{8} y^{100} z^{36}

簡素化

16 x^{8} y^{100} z^{36} : 4 x^{4} y^{50} z^{18}

= 4 x^{4} y^{50} z^{18}

4 x^{4} y^{50} z^{18} = 4 x^{4} y^{50} z^{18}

= 4 x^{4} y^{50} z^{18}

4 = 2

= 2 x^{4} y^{50} z^{18}

簡素化

x^{4} : x^{2}

= 2 x^{2} y^{50} z^{18}

簡素化

y^{50} : y^{25}

= 2 x^{2} y^{25} z^{18}

簡素化

z^{18} : z^{9}

= 2 x^{2} y^{25} z^{9}