What is 2pi(932)(27*10^{-3}) ?

The solution to 2pi(932)(27*10^{-3}) is (6291pi)/(125)

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simplify 2pi(932)(27*10^{-3})

simplify

2 π (932) (27 \cdot 1 0^{- 3})

\frac{6291 π}{125}

Solution steps

2 π (932) (27 \cdot 1 0^{- 3})

Apply exponent rule:

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

= 2 \cdot 932 \cdot 27 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 2 π 932 \cdot 27}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 2 \cdot 932 \cdot 27 = 50328

= \frac{50328 π}{1 0 ^{3}}

Factor

50328 : 2^{3} \cdot 3^{3} \cdot 233

Factor

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

= \frac{2 ^{3} \cdot 3 ^{3} \cdot 233 π}{2 ^{3} \cdot 5 ^{3}}

Cancel the common factor:

2^{3}

= \frac{3 ^{3} \cdot 233 π}{5 ^{3}}

3^{3} \cdot 233 π = 6291 π

= \frac{6291 π}{5 ^{3}}

5^{3} = 125

= \frac{6291 π}{125}

4.94 \cdot 1 0^{- 4}

8.6 \cdot 1 0^{- 2}

6.074 \cdot 1 0^{- 5}

(3 x^{4} y^{4}) 3

7 e^{- 93 (25)}

What is 2pi(932)(27*10^{-3}) ?
The solution to 2pi(932)(27*10^{-3}) is (6291pi)/(125)