簡約 (5.6x10^6)(9.1x10^{-2})

解

簡約

(5.6 x 1 0^{6}) (9.1 x 1 0^{- 2})

509600 x^{2}

解答ステップ

(5.6 x \cdot 1 0^{6}) (9.1 x \cdot 1 0^{- 2})

簡素化

9.1 x \cdot 1 0^{- 2} : \frac{9.1 x}{100}

= 5.6 x \cdot 1 0^{6} \cdot \frac{9.1 x}{100}

分数の規則を適用する:

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

= \frac{5.6 x \cdot 1 0 ^{6} \cdot 9.1 x}{100}

指数の規則を適用する:

aa = a^{2}

xx = x^{2}

= \frac{5.6 x ^{2} \cdot 1 0 ^{6} \cdot 9.1}{100}

キャンセル

\frac{5.6 x ^{2} \cdot 1 0 ^{6} \cdot 9.1}{100} : 5.6 x^{2} \cdot 1 0^{4} \cdot 9.1

= 5.6 x^{2} \cdot 1 0^{4} \cdot 9.1

数を乗じる:

5.6 \cdot 9.1 = 50.96

= 50.96 x^{2} \cdot 1 0^{4}

= 1 0^{4} \cdot 50.96 x^{2}

1 0^{4} = 10000

= 10000 \cdot 50.96 x^{2}

数を乗じる:

10000 \cdot 50.96 = 509600

= 509600 x^{2}