簡約 A^2A^4(1/(A^2))

解

簡約

A^{2} \cdot A^{4} \cdot (\frac{1}{A ^{2}})

A^{4}

解答ステップ

A^{2} A^{4} (\frac{1}{A ^{2}})

規則を適用する:

(a) = a

(\frac{1}{A ^{2}}) = \frac{1}{A ^{2}}

= A^{2} A^{4} \frac{1}{A ^{2}}

簡素化

A^{2} A^{4} : A^{6}

= A^{6} \frac{1}{A ^{2}}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot A ^{6}}{A ^{2}}

乗算:

1 \cdot A^{6} = A^{6}

= \frac{A ^{6}}{A ^{2}}

指数の規則を適用する:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{A ^{6}}{A ^{2}} = A^{6 - 2}

= A^{6 - 2}

数を引く:

6 - 2 = 4

= A^{4}