What is 165*2pi*3*10^{-3} ?

The solution to 165*2pi*3*10^{-3} is (99pi)/(100)

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simplify 1652pi3*10^{-3}

simplify

165 \cdot 2 π \cdot 3 \cdot 1 0^{- 3}

\frac{99 π}{100}

Decimal Notation

3.11017 \dots

Solution steps

165 \cdot 2 π 3 \cdot 1 0^{- 3}

Apply exponent rule:

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

= 165 \cdot 2 \cdot 3 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 165 \cdot 2 π 3}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 165 \cdot 2 \cdot 3 = 990

= \frac{990 π}{1 0 ^{3}}

Factor

990 : 3^{2} \cdot 2 \cdot 5 \cdot 11

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

= \frac{3 ^{2} \cdot 2 \cdot 5 \cdot 11 π}{2 ^{3} \cdot 5 ^{3}}

Cancel

\frac{2 \cdot 3 ^{2} \cdot 5 \cdot 11 π}{2 ^{3} \cdot 5 ^{3}} : \frac{3 ^{2} \cdot 11 π}{2 ^{2} \cdot 5 ^{2}}

= \frac{3 ^{2} \cdot 11 π}{2 ^{2} \cdot 5 ^{2}}

3^{2} \cdot 11 π = 99 π

= \frac{99 π}{2 ^{2} \cdot 5 ^{2}}

2^{2} \cdot 5^{2} = 100

= \frac{99 π}{100}

1.4 \cdot 1.1 \cdot (\frac{1885}{331}) \cdot 1.46 \cdot 1 0^{- 5}

(2 x - 1) \cdot e^{- x}

e^{t} (cos (t) - sin (t)) \cdot 2 e^{t} cos (t)

(0.08 \cdot 5) (0.008 \cdot 5^{2} + 1)^{2} \cdot 5

(3.98 \cdot 1 0^{- 8}) \cdot \frac{1}{5.6}