What is 2pi(60)(12*10^{-3}) ?

The solution to 2pi(60)(12*10^{-3}) is (36pi)/(25)

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simplify 2pi(60)(12*10^{-3})

simplify

2 π (60) (12 \cdot 1 0^{- 3})

\frac{36 π}{25}

Decimal Notation

4.52389 \dots

Solution steps

2 π (60) (12 \cdot 1 0^{- 3})

Apply exponent rule:

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

= 2 \cdot 60 \cdot 12 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 2 π 60 \cdot 12}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 2 \cdot 60 \cdot 12 = 1440

= \frac{1440 π}{1 0 ^{3}}

Factor

1440 : 2^{5} \cdot 3^{2} \cdot 5

Factor

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

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

Cancel

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

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

2^{2} \cdot 3^{2} π = 36 π

= \frac{36 π}{5 ^{2}}

5^{2} = 25

= \frac{36 π}{25}

0.03 \cdot 1 0^{- 33} k g

- 5400 e^{- 0.6 \cdot 4}

(2 x + 3)^{2} (3 x + 5)^{2}

(u^{2} v) (v^{2} u)

2 e^{- t} sin (π t)

What is 2pi(60)(12*10^{-3}) ?
The solution to 2pi(60)(12*10^{-3}) is (36pi)/(25)