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Popular >

simplify 33.8*10^{-20}

Solution

simplify

33.8 \cdot 1 0^{- 20}

Solution

\frac{169}{5 ^{21} \cdot 1048576}

+1

Decimal Notation

3.38 E - 19

Solution steps

33.8 \cdot 1 0^{- 20}

Apply exponent rule:

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

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

= 33.8 \cdot \frac{1}{1 0 ^{20}}

33.8 \cdot \frac{1}{1 0 ^{20}} = \frac{33.8}{1 0 ^{20}}

= \frac{33.8}{1 0 ^{20}}

\frac{33.8}{1 0 ^{20}} = \frac{338}{10 \cdot 1 0 ^{20}}

= \frac{338}{10 \cdot 1 0 ^{20}}

10 \cdot 1 0^{20} = 1 0^{21}

= \frac{338}{1 0 ^{21}}

Factor the number:

338 = 2 \cdot 169

= \frac{2 \cdot 169}{1 0 ^{21}}

Factor

1 0^{21} : 2^{21} \cdot 5^{21}

= \frac{2 \cdot 169}{2 ^{21} \cdot 5 ^{21}}

\frac{2}{2 ^{21}} = \frac{1}{2 ^{20}}

= \frac{169}{2 ^{20} \cdot 5 ^{21}}

2^{20} = 1048576

= \frac{169}{5 ^{21} \cdot 1048576}

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Frequently Asked Questions (FAQ)

What is 33.8*10^{-20} ?
The solution to 33.8*10^{-20} is (169)/(5^{21)*1048576}