What is 0.354*10^{-12}*200 ?

The solution to 0.354*10^{-12}*200 is (177)/(5^{13)*2048}

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simplify 0.35410^{-12}200

simplify

0.354 \cdot 1 0^{- 12} \cdot 200

\frac{177}{5 ^{13} \cdot 2048}

Decimal Notation

7.08 E - 11

Solution steps

0.354 \cdot 1 0^{- 12} \cdot 200

Multiply the numbers:

0.354 \cdot 200 = 70.8

= 70.8 \cdot 1 0^{- 12}

= 1 0^{- 12} \cdot 70.8

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= \frac{1}{1 0 ^{12}} \cdot 70.8

\frac{1}{1 0 ^{12}} \cdot 70.8 = \frac{70.8}{1 0 ^{12}}

= \frac{70.8}{1 0 ^{12}}

\frac{70.8}{1 0 ^{12}} = \frac{708}{10 \cdot 1 0 ^{12}}

= \frac{708}{10 \cdot 1 0 ^{12}}

10 \cdot 1 0^{12} = 1 0^{13}

= \frac{708}{1 0 ^{13}}

Factor

708 : 2^{2} \cdot 177

= \frac{2 ^{2} \cdot 177}{1 0 ^{13}}

Factor

1 0^{13} : 2^{13} \cdot 5^{13}

= \frac{2 ^{2} \cdot 177}{2 ^{13} \cdot 5 ^{13}}

\frac{2 ^{2}}{2 ^{13}} = \frac{1}{2 ^{11}}

= \frac{177}{2 ^{11} \cdot 5 ^{13}}

2^{11} = 2048

= \frac{177}{5 ^{13} \cdot 2048}

(9 a^{2} b^{2}) (5 ab - 3 a^{2} + 8 a b^{3} - 2)

6.421 \cdot 1 0^{- 5} (\frac{1}{0.3048})

0.0567 \cdot 4.52 \cdot 1 0^{- 4} \cdot 23

What is 0.354*10^{-12}*200 ?
The solution to 0.354*10^{-12}*200 is (177)/(5^{13)*2048}