What is 2pi*60*133*10^{-6} ?

The solution to 2pi*60*133*10^{-6} is (399pi)/(25000)

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simplify 2pi60133*10^{-6}

simplify

2 π \cdot 60 \cdot 133 \cdot 1 0^{- 6}

\frac{399 π}{25000}

Decimal Notation

0.05013 \dots

Solution steps

2 π 60 \cdot 133 \cdot 1 0^{- 6}

Apply exponent rule:

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

= 2 \cdot 60 \cdot 133 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 2 π 60 \cdot 133}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 2 \cdot 60 \cdot 133 = 15960

= \frac{15960 π}{1 0 ^{6}}

Factor

15960 : 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 19

Factor

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

= \frac{2 ^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 19 π}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 19 π}{2 ^{6} \cdot 5 ^{6}} : \frac{3 \cdot 7 \cdot 19 π}{5 ^{5} \cdot 2 ^{3}}

= \frac{3 \cdot 7 \cdot 19 π}{5 ^{5} \cdot 2 ^{3}}

Multiply the numbers:

3 \cdot 7 \cdot 19 = 399

= \frac{399 π}{5 ^{5} \cdot 2 ^{3}}

5^{5} \cdot 2^{3} = 25000

= \frac{399 π}{25000}

(25) 2

(4 ab) (a^{3} b^{5})

(4.4 \cdot 1 0^{2}) (1.4 \cdot 1 0^{4})

1^{\frac{1}{2}} \cdot 1^{\frac{1}{2}}

4.97994 E 14 \cdot 6.63 \cdot 1 0^{- 34}

What is 2pi*60*133*10^{-6} ?
The solution to 2pi*60*133*10^{-6} is (399pi)/(25000)