What is 2000pi*1000*10^{-6} ?

The solution to 2000pi*1000*10^{-6} is 2pi

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simplify 2000pi100010^{-6}

simplify

2000 π \cdot 1000 \cdot 1 0^{- 6}

2 π

Decimal Notation

6.28318 \dots

Solution steps

2000 π 1000 \cdot 1 0^{- 6}

Apply exponent rule:

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

= 2000 \cdot 1000 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 2000 π 1000}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 2000 \cdot 1000 = 2000000

= \frac{2000000 π}{1 0 ^{6}}

Factor

2000000 : 2^{7} \cdot 5^{6}

Factor

1 0^{6} : 2^{6} \cdot 5^{6}

= \frac{2 ^{7} \cdot 5 ^{6} π}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{7} \cdot 5 ^{6} π}{2 ^{6} \cdot 5 ^{6}} : 2 π

= 2 π

8.4 \cdot 1 0^{- 2}

2.21 \cdot 1 0^{- 3} (3600)

2 t e^{- 3 t} sin (4 t)

(27) (47)

e^{t^{2}} (e^{- t^{2}})