What is 2pi*10^6*(-10)*10^{-9} ?

The solution to 2pi*10^6*(-10)*10^{-9} is -pi/(50)

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simplify 2pi10^6(-10)*10^{-9}

simplify

2 π \cdot 1 0^{6} \cdot (- 10) \cdot 1 0^{- 9}

- \frac{π}{50}

Decimal Notation

- 0.06283 \dots

Solution steps

2 π 1 0^{6} (- 10) \cdot 1 0^{- 9}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{6} \cdot 1 0^{- 9} = 1 0^{6 - 9}

= 2 π (- 10) \cdot 1 0^{6 - 9}

Subtract the numbers:

6 - 9 = - 3

= 2 π (- 10) \cdot 1 0^{- 3}

Remove parentheses:

(- a) = - a

= - 2 π 10 \cdot 1 0^{- 3}

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= 2 \cdot 10 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= - \frac{1 \cdot 2 π 10}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 2 \cdot 10 = 20

= - \frac{20 π}{1 0 ^{3}}

Cancel

\frac{20 π}{1 0 ^{3}} : \frac{π}{5 ^{2} \cdot 2}

= - \frac{π}{5 ^{2} \cdot 2}

5^{2} \cdot 2 = 50

= - \frac{π}{50}

1 \cdot (1.435 \cdot (\frac{1}{2})^{- 0.921})

(3.27 \cdot 1 0^{- 13}) \cdot 3

8.256 \cdot 1 0^{- 4}

What is 2pi*10^6*(-10)*10^{-9} ?
The solution to 2pi*10^6*(-10)*10^{-9} is -pi/(50)