What is 2*60*pi*(266556*10^{-6}) ?

The solution to 2*60*pi*(266556*10^{-6}) is (199917pi)/(6250)

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simplify 260pi(26655610^{-6})

simplify

2 \cdot 60 \cdot π \cdot (266556 \cdot 1 0^{- 6})

\frac{199917 π}{6250}

Decimal Notation

100.48924 \dots

Solution steps

2 \cdot 60 π (266556 \cdot 1 0^{- 6})

Apply exponent rule:

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

= 2 \cdot 60 \cdot 266556 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 2 \cdot 60 π 266556}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 2 \cdot 60 \cdot 266556 = 31986720

= \frac{31986720 π}{1 0 ^{6}}

Factor

31986720 : 2^{5} \cdot 3^{2} \cdot 5 \cdot 97 \cdot 229

Factor

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

= \frac{2 ^{5} \cdot 3 ^{2} \cdot 5 \cdot 97 \cdot 229 π}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{5} \cdot 3 ^{2} \cdot 5 \cdot 97 \cdot 229 π}{2 ^{6} \cdot 5 ^{6}} : \frac{3 ^{2} \cdot 97 \cdot 229 π}{5 ^{5} \cdot 2}

= \frac{3 ^{2} \cdot 97 \cdot 229 π}{5 ^{5} \cdot 2}

Multiply the numbers:

97 \cdot 229 = 22213

= \frac{3 ^{2} \cdot 22213 π}{5 ^{5} \cdot 2}

22213 \cdot 3^{2} π = 199917 π

= \frac{199917 π}{5 ^{5} \cdot 2}

5^{5} \cdot 2 = 6250

= \frac{199917 π}{6250}

12 \cdot 1.1 \cdot 1 0^{- 5} \cdot 8

2.15 \cdot 1 0^{- 4}

- 2.7 x 1 0^{- 3}

cos (t) \cdot e^{- a s}

What is 2*60*pi*(266556*10^{-6}) ?
The solution to 2*60*pi*(266556*10^{-6}) is (199917pi)/(6250)