What is 6000rpm^1*(2pi)/(rpm) ?

The solution to 6000rpm^1*(2pi)/(rpm) is 12000pi

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simplify 6000rpm^1*(2pi)/(rpm)

simplify

6000 r p m^{1} \cdot \frac{2 π}{r p m}

12000 π

Decimal Notation

37699.11184 \dots

Solution steps

6000 r p m^{1} \frac{2 π}{r p m}

Apply rule

a^{1} = a

m^{1} = m

= 6000 \cdot \frac{2 π}{r p m} r p m

Multiply fractions:

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

= \frac{2 π 6000 r p m}{r p m}

Cancel the common factor:

r

= \frac{2 π 6000 p m}{p m}

Cancel the common factor:

p

= \frac{2 π 6000 m}{m}

Cancel the common factor:

m

= 2 π 6000

Multiply the numbers:

2 \cdot 6000 = 12000

= 12000 π

(z + 9)^{2} = - 64

3 (x^{2} - 8) - 6 = - 3

\frac{g}{2} + 6 = 14

(\frac{3}{y ^{3}})^{- 1}

2 (x + 5) - (x + 3) = - 7

What is 6000rpm^1*(2pi)/(rpm) ?
The solution to 6000rpm^1*(2pi)/(rpm) is 12000pi