簡約 (1/4 a^8b^4)^2

解

簡約

(\frac{1}{4} a^{8} b^{4})^{2}

\frac{a ^{16} b ^{8}}{16}

解答ステップ

(\frac{1}{4} a^{8} b^{4})^{2}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{1}{4} a^{8} b^{4})^{2} = (\frac{1}{4})^{2} (a^{8})^{2} (b^{4})^{2}

= (\frac{1}{4})^{2} (a^{8})^{2} (b^{4})^{2}

(\frac{1}{4})^{2} = \frac{1}{16}

= \frac{1}{16} (a^{8})^{2} (b^{4})^{2}

簡素化

(a^{8})^{2} : a^{16}

= \frac{1}{16} a^{16} (b^{4})^{2}

簡素化

(b^{4})^{2} : b^{8}

= \frac{1}{16} a^{16} b^{8}

簡素化

\frac{1}{16} a^{16} b^{8} : \frac{a ^{16} b ^{8}}{16}

= \frac{a ^{16} b ^{8}}{16}