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Popular >

simplify 1.6*10^{-199}

Solution

simplify

1.6 \cdot 1 0^{- 199}

Solution

\frac{1}{2 ^{196} \cdot 5 ^{200}}

+1

Decimal Notation

1.6 E - 199

Solution steps

1.6 \cdot 1 0^{- 199}

Apply exponent rule:

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

1 0^{- 199} = \frac{1}{1 0 ^{199}}

= 1.6 \cdot \frac{1}{1 0 ^{199}}

1.6 \cdot \frac{1}{1 0 ^{199}} = \frac{1.6}{1 0 ^{199}}

= \frac{1.6}{1 0 ^{199}}

\frac{1.6}{1 0 ^{199}} = \frac{16}{10 \cdot 1 0 ^{199}}

= \frac{16}{10 \cdot 1 0 ^{199}}

10 \cdot 1 0^{199} = 1 0^{200}

= \frac{16}{1 0 ^{200}}

Factor the number:

16 = 2^{4}

= \frac{2 ^{4}}{1 0 ^{200}}

Factor

1 0^{200} : 2^{200} \cdot 5^{200}

= \frac{2 ^{4}}{2 ^{200} \cdot 5 ^{200}}

\frac{2 ^{4}}{2 ^{200}} = \frac{1}{2 ^{196}}

= \frac{1}{2 ^{196} \cdot 5 ^{200}}

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Frequently Asked Questions (FAQ)

What is 1.6*10^{-199} ?
The solution to 1.6*10^{-199} is 1/(2^{196)*5^{200}}