What is 2000pi*410*10^{-6} ?

The solution to 2000pi*410*10^{-6} is (41pi)/(50)

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simplify 2000pi41010^{-6}

simplify

2000 π \cdot 410 \cdot 1 0^{- 6}

\frac{41 π}{50}

Decimal Notation

2.57610 \dots

Solution steps

2000 π 410 \cdot 1 0^{- 6}

Apply exponent rule:

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

= 2000 \cdot 410 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 2000 π 410}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 2000 \cdot 410 = 820000

= \frac{820000 π}{1 0 ^{6}}

Factor

820000 : 2^{5} \cdot 5^{4} \cdot 41

Factor

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

= \frac{2 ^{5} \cdot 5 ^{4} \cdot 41 π}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{5} \cdot 5 ^{4} \cdot 41 π}{2 ^{6} \cdot 5 ^{6}} : \frac{41 π}{5 ^{2} \cdot 2}

= \frac{41 π}{5 ^{2} \cdot 2}

5^{2} \cdot 2 = 50

= \frac{41 π}{50}

5.5 \cdot 1 0^{- 2}

784 \cdot 9.8 \cdot 2 \cdot 1 \cdot 1 0^{- 3}

e^{- 2} \cdot 2.5

e^{- t} cos (ω t + θ)

3 a^{2} b^{2} (a^{2} - b^{2})