簡約 (2(980)0.4(100000)^2)/(9(10^{22))}

解

簡約

\frac{2 ( 980 ) \cdot 0.4 \cdot ( 100000 ) ^{2}}{9 ( 1 0 ^{22} )}

\frac{49}{562500000000}

十進法表記

8.71111 E - 11

解答ステップ

\frac{2 ( 980 ) \cdot 0.4 \cdot 10000 0 ^{2}}{9 ( 1 0 ^{22} )}

\frac{2 ( 980 ) \cdot 0.4 \cdot 10000 0 ^{2}}{9 ( 1 0 ^{22} )} = \frac{2 \cdot 980 \cdot 0.4 \cdot 10000 0 ^{2}}{9 \cdot 1 0 ^{22}}

= \frac{2 \cdot 980 \cdot 0.4 \cdot 10000 0 ^{2}}{9 \cdot 1 0 ^{22}}

2 \cdot 980 \cdot 0.4 \cdot 10000 0^{2} = 10000 0^{2} \cdot 784

= \frac{10000 0 ^{2} \cdot 784}{9 \cdot 1 0 ^{22}}

因数

10000 0^{2} : 1 0^{10}

= \frac{1 0 ^{10} \cdot 784}{9 \cdot 1 0 ^{22}}

\frac{1 0 ^{10}}{1 0 ^{22}} = \frac{1}{1 0 ^{12}}

= \frac{784}{9 \cdot 1 0 ^{12}}

因数

784 : 2^{4} \cdot 49

= \frac{2 ^{4} \cdot 49}{9 \cdot 1 0 ^{12}}

因数

1 0^{12} : 2^{12} \cdot 5^{12}

= \frac{2 ^{4} \cdot 49}{9 \cdot 2 ^{12} \cdot 5 ^{12}}

\frac{2 ^{4}}{2 ^{12}} = \frac{1}{2 ^{8}}

= \frac{49}{9 \cdot 2 ^{8} \cdot 5 ^{12}}

9 \cdot 2^{8} \cdot 5^{12} = 562500000000

= \frac{49}{562500000000}