簡約 (7.8x10^6)(3.4x10^-5)

解

簡約

(7.8 x 1 0^{6}) (3.4 x 1 0^{-} 5)

132600000 x^{2}

解答ステップ

(7.8 x \cdot 1 0^{6}) (3.4 x \cdot 1 0^{-} \cdot 5)

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{6} \cdot 1 0^{-} = 1 0^{6 -}

= 7.8 x \cdot 3.4 x \cdot 1 0^{6 -} \cdot 5

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

xx = x^{1 + 1}

= 7.8 \cdot 3.4 x^{1 + 1} \cdot 1 0^{6 -} \cdot 5

数を足す:

1 + 1 = 2

= 7.8 \cdot 3.4 x^{2} \cdot 1 0^{6 -} \cdot 5

数を乗じる:

7.8 \cdot 3.4 \cdot 5 = 132.6

= 1 0^{6} \cdot 132.6 x^{2}

1 0^{6 -} = 1000000

= 1000000 \cdot 132.6 x^{2}

数を乗じる:

132.6 \cdot 1000000 = 132600000

= 132600000 x^{2}