What is simplify-1.6*10^{-19}*18 ?

The solution to simplify-1.6*10^{-19}*18 is -9/(5^{20)*32768}

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simplify-1.610^{-19}18

simplify

- 1.6 \cdot 1 0^{- 19} \cdot 18

- \frac{9}{5 ^{20} \cdot 32768}

Decimal Notation

0

Solution steps

- 1.6 \cdot 1 0^{- 19} \cdot 18

Multiply the numbers:

- 1.6 \cdot 18 = - 28.8

= - 28.8 \cdot 1 0^{- 19}

= - 1 0^{- 19} \cdot 28.8

Apply exponent rule:

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

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

= - \frac{1}{1 0 ^{19}} \cdot 28.8

- \frac{1}{1 0 ^{19}} \cdot 28.8 = - \frac{28.8}{1 0 ^{19}}

= - \frac{28.8}{1 0 ^{19}}

\frac{28.8}{1 0 ^{19}} = \frac{288}{10 \cdot 1 0 ^{19}}

= - \frac{288}{10 \cdot 1 0 ^{19}}

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

= - \frac{288}{1 0 ^{20}}

Factor

288 : 2^{5} \cdot 9

= - \frac{2 ^{5} \cdot 9}{1 0 ^{20}}

Factor

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

= - \frac{2 ^{5} \cdot 9}{2 ^{20} \cdot 5 ^{20}}

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

= - \frac{9}{2 ^{15} \cdot 5 ^{20}}

2^{15} = 32768

= - \frac{9}{5 ^{20} \cdot 32768}

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6 x + 7 x x

What is simplify-1.6*10^{-19}*18 ?
The solution to simplify-1.6*10^{-19}*18 is -9/(5^{20)*32768}