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Popular >

simplify 41.610^{-19}

Solution

simplify

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

Solution

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

+1

Decimal Notation

6.4 E - 19

Solution steps

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

Multiply the numbers:

4 \cdot 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}

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Frequently Asked Questions (FAQ)

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