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Popular >

simplify 1.6\times 10^{-19}

Solution

simplify

1.6 \cdot 1 0^{- 19}

Solution

\frac{1}{5 ^{20} \cdot 65536}

+1

Decimal Notation

1.6 E - 19

Solution steps

1.6 \cdot 1 0^{- 19}

Apply exponent rule:

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

1 0^{- 19} = \frac{1}{1 0 ^{19}}

= 1.6 \cdot \frac{1}{1 0 ^{19}}

1.6 \cdot \frac{1}{1 0 ^{19}} = \frac{1.6}{1 0 ^{19}}

= \frac{1.6}{1 0 ^{19}}

\frac{1.6}{1 0 ^{19}} = \frac{16}{10 \cdot 1 0 ^{19}}

= \frac{16}{10 \cdot 1 0 ^{19}}

10 \cdot 1 0^{19} = 1 0^{20}

= \frac{16}{1 0 ^{20}}

Factor the number:

16 = 2^{4}

= \frac{2 ^{4}}{1 0 ^{20}}

Factor

1 0^{20} : 2^{20} \cdot 5^{20}

= \frac{2 ^{4}}{2 ^{20} \cdot 5 ^{20}}

\frac{2 ^{4}}{2 ^{20}} = \frac{1}{2 ^{16}}

= \frac{1}{2 ^{16} \cdot 5 ^{20}}

2^{16} = 65536

= \frac{1}{5 ^{20} \cdot 65536}

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Frequently Asked Questions (FAQ)

What is 1.6\times 10^{-19} ?
The solution to 1.6\times 10^{-19} is 1/(5^{20)*65536}