What is 5.46*10^{-12} ?

The solution to 5.46*10^{-12} is (273)/(50*10^{12)}

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simplify 5.46*10^{-12}

simplify

5.46 \cdot 1 0^{- 12}

\frac{273}{50 \cdot 1 0 ^{12}}

Decimal Notation

5.46 E - 12

Solution steps

5.46 \cdot 1 0^{- 12}

Apply exponent rule:

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

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

= 5.46 \cdot \frac{1}{1 0 ^{12}}

5.46 \cdot \frac{1}{1 0 ^{12}} = \frac{5.46}{1 0 ^{12}}

= \frac{5.46}{1 0 ^{12}}

\frac{5.46}{1 0 ^{12}} = \frac{546}{100 \cdot 1 0 ^{12}}

= \frac{546}{100 \cdot 1 0 ^{12}}

Factor the number:

546 = 2 \cdot 273

= \frac{2 \cdot 273}{100 \cdot 1 0 ^{12}}

Factor the number:

100 = 2 \cdot 50

= \frac{2 \cdot 273}{2 \cdot 50 \cdot 1 0 ^{12}}

Cancel the common factor:

2

= \frac{273}{50 \cdot 1 0 ^{12}}

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