What is 4*(-1.6)*10^{-19} ?

The solution to 4*(-1.6)*10^{-19} is -1/(5^{20)*16384}

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simplify 4(-1.6)10^{-19}

simplify

4 \cdot (- 1.6) \cdot 1 0^{- 19}

- \frac{1}{5 ^{20} \cdot 16384}

Solution steps

4 (- 1.6) \cdot 1 0^{- 19}

Multiply the numbers:

4 (- 1.6) = - 6.4

= - 6.4 \cdot 1 0^{- 19}

= - 1 0^{- 19} \cdot 6.4

Apply exponent rule:

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

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

= - \frac{1}{1 0 ^{19}} \cdot 6.4

- \frac{1}{1 0 ^{19}} \cdot 6.4 = - \frac{6.4}{1 0 ^{19}}

= - \frac{6.4}{1 0 ^{19}}

\frac{6.4}{1 0 ^{19}} = \frac{64}{10 \cdot 1 0 ^{19}}

= - \frac{64}{10 \cdot 1 0 ^{19}}

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

= - \frac{64}{1 0 ^{20}}

Factor the number:

64 = 2^{6}

= - \frac{2 ^{6}}{1 0 ^{20}}

Factor

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

= - \frac{2 ^{6}}{2 ^{20} \cdot 5 ^{20}}

\frac{2 ^{6}}{2 ^{20}} = \frac{1}{2 ^{14}}

= - \frac{1}{2 ^{14} \cdot 5 ^{20}}

2^{14} = 16384

= - \frac{1}{5 ^{20} \cdot 16384}

3^{n} (2 \cdot 3^{n})

45 e^{- 0.25 (0)}

(3.72 (10)) (1 0^{- 2})

7.28 \cdot 1 0^{- 6} \cdot 107.87

What is 4*(-1.6)*10^{-19} ?
The solution to 4*(-1.6)*10^{-19} is -1/(5^{20)*16384}