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Popular >

simplify 1.610^{-19}2

Solution

simplify

1.6 \cdot 1 0^{- 19} \cdot 2

Solution

\frac{1}{5 ^{20} \cdot 32768}

+1

Decimal Notation

3.2 E - 19

Solution steps

1.6 \cdot 1 0^{- 19} \cdot 2

Multiply the numbers:

1.6 \cdot 2 = 3.2

= 3.2 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 3.2

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 3.2

\frac{1}{1 0 ^{19}} \cdot 3.2 = \frac{3.2}{1 0 ^{19}}

= \frac{3.2}{1 0 ^{19}}

\frac{3.2}{1 0 ^{19}} = \frac{32}{10 \cdot 1 0 ^{19}}

= \frac{32}{10 \cdot 1 0 ^{19}}

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

= \frac{32}{1 0 ^{20}}

Factor the number:

32 = 2^{5}

= \frac{2 ^{5}}{1 0 ^{20}}

Factor

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

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

\frac{2 ^{5}}{2 ^{20}} = \frac{1}{2 ^{15}}

= \frac{1}{2 ^{15} \cdot 5 ^{20}}

2^{15} = 32768

= \frac{1}{5 ^{20} \cdot 32768}

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Frequently Asked Questions (FAQ)

What is 1.6*10^{-19}*2 ?
The solution to 1.6*10^{-19}*2 is 1/(5^{20)*32768}