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Popular >

simplify 1.610^{-17}2

Solution

simplify

1.6 \cdot 1 0^{- 17} \cdot 2

Solution

\frac{1}{5 ^{18} \cdot 8192}

+1

Decimal Notation

3.2 E - 17

Solution steps

1.6 \cdot 1 0^{- 17} \cdot 2

Multiply the numbers:

1.6 \cdot 2 = 3.2

= 3.2 \cdot 1 0^{- 17}

= 1 0^{- 17} \cdot 3.2

Apply exponent rule:

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

1 0^{- 17} = \frac{1}{1 0 ^{17}}

= \frac{1}{1 0 ^{17}} \cdot 3.2

\frac{1}{1 0 ^{17}} \cdot 3.2 = \frac{3.2}{1 0 ^{17}}

= \frac{3.2}{1 0 ^{17}}

\frac{3.2}{1 0 ^{17}} = \frac{32}{10 \cdot 1 0 ^{17}}

= \frac{32}{10 \cdot 1 0 ^{17}}

10 \cdot 1 0^{17} = 1 0^{18}

= \frac{32}{1 0 ^{18}}

Factor the number:

32 = 2^{5}

= \frac{2 ^{5}}{1 0 ^{18}}

Factor

1 0^{18} : 2^{18} \cdot 5^{18}

= \frac{2 ^{5}}{2 ^{18} \cdot 5 ^{18}}

\frac{2 ^{5}}{2 ^{18}} = \frac{1}{2 ^{13}}

= \frac{1}{2 ^{13} \cdot 5 ^{18}}

2^{13} = 8192

= \frac{1}{5 ^{18} \cdot 8192}

Popular Examples

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7.3143 x 1 0^{- 8}

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0.0085 \cdot 1 0^{- 7}

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e^{- 0.028 \cdot 0.5} \cdot 0.451615

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e^{- (\frac{1}{5.5})^{2.7}}

expand sqrt((10)/pi)(pi+2)expand

\frac{10}{π} (π + 2)

Frequently Asked Questions (FAQ)

What is 1.6*10^{-17}*2 ?
The solution to 1.6*10^{-17}*2 is 1/(5^{18)*8192}