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Popular >

simplify 1.6*10^{-18}

Solution

simplify

1.6 \cdot 1 0^{- 18}

Solution

\frac{1}{5 ^{19} \cdot 32768}

+1

Solution steps

1.6 \cdot 1 0^{- 18}

Apply exponent rule:

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

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

= 1.6 \cdot \frac{1}{1 0 ^{18}}

1.6 \cdot \frac{1}{1 0 ^{18}} = \frac{1.6}{1 0 ^{18}}

= \frac{1.6}{1 0 ^{18}}

\frac{1.6}{1 0 ^{18}} = \frac{16}{10 \cdot 1 0 ^{18}}

= \frac{16}{10 \cdot 1 0 ^{18}}

10 \cdot 1 0^{18} = 1 0^{19}

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

Factor the number:

16 = 2^{4}

= \frac{2 ^{4}}{1 0 ^{19}}

Factor

1 0^{19} : 2^{19} \cdot 5^{19}

= \frac{2 ^{4}}{2 ^{19} \cdot 5 ^{19}}

\frac{2 ^{4}}{2 ^{19}} = \frac{1}{2 ^{15}}

= \frac{1}{2 ^{15} \cdot 5 ^{19}}

2^{15} = 32768

= \frac{1}{5 ^{19} \cdot 32768}

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Frequently Asked Questions (FAQ)

What is 1.6*10^{-18} ?
The solution to 1.6*10^{-18} is 1/(5^{19)*32768}