簡約 (80000(0.09)^2)/(9*10^9)

解

簡約

\frac{80000 ( 0.09 ) ^{2}}{9 \cdot 1 0 ^{9}}

\frac{9}{125000000}

十進法表記

0.000000072

解答ステップ

\frac{80000 \cdot 0.0 9 ^{2}}{9 \cdot 1 0 ^{9}}

因数

80000 : 1 0^{4} \cdot 8

= \frac{1 0 ^{4} \cdot 8 \cdot 0.0 9 ^{2}}{9 \cdot 1 0 ^{9}}

\frac{1 0 ^{4}}{1 0 ^{9}} = \frac{1}{1 0 ^{5}}

= \frac{8 \cdot 0.0 9 ^{2}}{9 \cdot 1 0 ^{5}}

数を因数に分解する:

8 = 2^{3}

= \frac{2 ^{3} \cdot 0.0 9 ^{2}}{9 \cdot 1 0 ^{5}}

因数

1 0^{5} : 2^{5} \cdot 5^{5}

= \frac{2 ^{3} \cdot 0.0 9 ^{2}}{9 \cdot 2 ^{5} \cdot 5 ^{5}}

\frac{2 ^{3}}{2 ^{5}} = \frac{1}{2 ^{2}}

= \frac{0.0 9 ^{2}}{9 \cdot 2 ^{2} \cdot 5 ^{5}}

\frac{0.0 9 ^{2}}{9 \cdot 2 ^{2} \cdot 5 ^{5}} = \frac{9}{125000000}

= \frac{9}{125000000}