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Popular >

simplify 81.610^{-19}

Solution

simplify

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

Solution

\frac{1}{5 ^{20} \cdot 8192}

+1

Decimal Notation

1.28 E - 18

Solution steps

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

Multiply the numbers:

8 \cdot 1.6 = 12.8

= 12.8 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 12.8

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 12.8

\frac{1}{1 0 ^{19}} \cdot 12.8 = \frac{12.8}{1 0 ^{19}}

= \frac{12.8}{1 0 ^{19}}

\frac{12.8}{1 0 ^{19}} = \frac{128}{10 \cdot 1 0 ^{19}}

= \frac{128}{10 \cdot 1 0 ^{19}}

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

= \frac{128}{1 0 ^{20}}

Factor the number:

128 = 2^{7}

= \frac{2 ^{7}}{1 0 ^{20}}

Factor

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

= \frac{2 ^{7}}{2 ^{20} \cdot 5 ^{20}}

\frac{2 ^{7}}{2 ^{20}} = \frac{1}{2 ^{13}}

= \frac{1}{2 ^{13} \cdot 5 ^{20}}

2^{13} = 8192

= \frac{1}{5 ^{20} \cdot 8192}

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Frequently Asked Questions (FAQ)

What is 8*1.6*10^{-19} ?
The solution to 8*1.6*10^{-19} is 1/(5^{20)*8192}