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Popular >

simplify 4.2*10^{-11}

Solution

simplify

4.2 \cdot 1 0^{- 11}

Solution

\frac{21}{500000000000}

+1

Decimal Notation

4.2 E - 11

Solution steps

4.2 \cdot 1 0^{- 11}

Apply exponent rule:

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

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

= 4.2 \cdot \frac{1}{1 0 ^{11}}

4.2 \cdot \frac{1}{1 0 ^{11}} = \frac{4.2}{1 0 ^{11}}

= \frac{4.2}{1 0 ^{11}}

\frac{4.2}{1 0 ^{11}} = \frac{42}{10 \cdot 1 0 ^{11}}

= \frac{42}{10 \cdot 1 0 ^{11}}

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

= \frac{42}{1 0 ^{12}}

Factor the number:

42 = 2 \cdot 21

= \frac{2 \cdot 21}{1 0 ^{12}}

Factor

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

= \frac{2 \cdot 21}{2 ^{12} \cdot 5 ^{12}}

\frac{2}{2 ^{12}} = \frac{1}{2 ^{11}}

= \frac{21}{2 ^{11} \cdot 5 ^{12}}

2^{11} \cdot 5^{12} = 500000000000

= \frac{21}{500000000000}

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Frequently Asked Questions (FAQ)

What is 4.2*10^{-11} ?
The solution to 4.2*10^{-11} is 21/500000000000