What is 1200*pi*10^{-9} ?

The solution to 1200*pi*10^{-9} is (3pi)/(2500000)

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simplify 1200pi10^{-9}

simplify

1200 \cdot π \cdot 1 0^{- 9}

\frac{3 π}{2500000}

Decimal Notation

3.76991 E - 6

Solution steps

1200 π 1 0^{- 9}

Apply exponent rule:

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

= 1200 π \frac{1}{1 0 ^{9}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 1200 π}{1 0 ^{9}}

Multiply the numbers:

1 \cdot 1200 = 1200

= \frac{1200 π}{1 0 ^{9}}

Factor

1200 : 2^{4} \cdot 5^{2} \cdot 3

Factor

1 0^{9} : 2^{9} \cdot 5^{9}

= \frac{2 ^{4} \cdot 5 ^{2} \cdot 3 π}{2 ^{9} \cdot 5 ^{9}}

Cancel

\frac{2 ^{4} \cdot 3 \cdot 5 ^{2} π}{2 ^{9} \cdot 5 ^{9}} : \frac{3 π}{5 ^{7} \cdot 2 ^{5}}

= \frac{3 π}{5 ^{7} \cdot 2 ^{5}}

5^{7} \cdot 2^{5} = 2500000

= \frac{3 π}{2500000}

- 10000 e^{- 0.01}

e^{- 1} \cdot \frac{1}{1}

2 x e^{2 x} 2

e^{- 2} e^{2}