What is 2.385*10^{-12} ?

The solution to 2.385*10^{-12} is (477)/(200*10^{12)}

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simplify 2.385*10^{-12}

simplify

2.385 \cdot 1 0^{- 12}

\frac{477}{200 \cdot 1 0 ^{12}}

Solution steps

2.385 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= 2.385 \cdot \frac{1}{1 0 ^{12}}

2.385 \cdot \frac{1}{1 0 ^{12}} = \frac{2.385}{1 0 ^{12}}

= \frac{2.385}{1 0 ^{12}}

\frac{2.385}{1 0 ^{12}} = \frac{2385}{1000 \cdot 1 0 ^{12}}

= \frac{2385}{1000 \cdot 1 0 ^{12}}

Factor the number:

2385 = 5 \cdot 477

= \frac{5 \cdot 477}{1000 \cdot 1 0 ^{12}}

Factor the number:

1000 = 5 \cdot 200

= \frac{5 \cdot 477}{5 \cdot 200 \cdot 1 0 ^{12}}

Cancel the common factor:

5

= \frac{477}{200 \cdot 1 0 ^{12}}

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