化简 4.5*10^{-11}

解答

化简

4.5 \cdot 1 0^{- 11}

\frac{9}{200000000000}

十进制

4.5 E - 11

求解步骤

4.5 \cdot 1 0^{- 11}

使用指数法则:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= 4.5 \cdot \frac{1}{1 0 ^{11}}

4.5 \cdot \frac{1}{1 0 ^{11}} = \frac{4.5}{1 0 ^{11}}

= \frac{4.5}{1 0 ^{11}}

\frac{4.5}{1 0 ^{11}} = \frac{45}{10 \cdot 1 0 ^{11}}

= \frac{45}{10 \cdot 1 0 ^{11}}

10 \cdot 1 0^{11} = 1 0^{12}

= \frac{45}{1 0 ^{12}}

因式分解数字:

45 = 5 \cdot 9

= \frac{5 \cdot 9}{1 0 ^{12}}

因式分解

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

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

\frac{5}{5 ^{12}} = \frac{1}{5 ^{11}}

= \frac{9}{5 ^{11} \cdot 2 ^{12}}

5^{11} \cdot 2^{12} = 200000000000

= \frac{9}{200000000000}

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