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Popular >

simplify 19.6*10^{-18}

Solution

simplify

19.6 \cdot 1 0^{- 18}

Solution

\frac{49}{5 ^{19} \cdot 131072}

+1

Decimal Notation

1.96 E - 17

Solution steps

19.6 \cdot 1 0^{- 18}

Apply exponent rule:

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

1 0^{- 18} = \frac{1}{1 0 ^{18}}

= 19.6 \cdot \frac{1}{1 0 ^{18}}

19.6 \cdot \frac{1}{1 0 ^{18}} = \frac{19.6}{1 0 ^{18}}

= \frac{19.6}{1 0 ^{18}}

\frac{19.6}{1 0 ^{18}} = \frac{196}{10 \cdot 1 0 ^{18}}

= \frac{196}{10 \cdot 1 0 ^{18}}

10 \cdot 1 0^{18} = 1 0^{19}

= \frac{196}{1 0 ^{19}}

Factor

196 : 2^{2} \cdot 49

= \frac{2 ^{2} \cdot 49}{1 0 ^{19}}

Factor

1 0^{19} : 2^{19} \cdot 5^{19}

= \frac{2 ^{2} \cdot 49}{2 ^{19} \cdot 5 ^{19}}

\frac{2 ^{2}}{2 ^{19}} = \frac{1}{2 ^{17}}

= \frac{49}{2 ^{17} \cdot 5 ^{19}}

2^{17} = 131072

= \frac{49}{5 ^{19} \cdot 131072}

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Frequently Asked Questions (FAQ)

What is 19.6*10^{-18} ?
The solution to 19.6*10^{-18} is (49)/(5^{19)*131072}