What is 1/(2pi)((10000)*(100*10^{-9})) ?

The solution to 1/(2pi)((10000)*(100*10^{-9})) is 1/(2000pi)

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simplify 1/(2pi)((10000)(10010^{-9}))

simplify

\frac{1}{2 π} ((10000) \cdot (100 \cdot 1 0^{- 9}))

\frac{1}{2000 π}

Decimal Notation

0.00015 \dots

Solution steps

\frac{1}{2 π} ((10000) (100 \cdot 1 0^{- 9}))

Apply exponent rule:

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

= 10000 \cdot 100 \cdot \frac{1}{2 π} \cdot \frac{1}{1 0 ^{9}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 10000 \cdot 100}{2 π 1 0 ^{9}}

Multiply the numbers:

1 \cdot 1 \cdot 10000 \cdot 100 = 1000000

= \frac{1000000}{1 0 ^{9} \cdot 2 π}

Divide the numbers:

\frac{1000000}{2} = 500000

= \frac{500000}{1 0 ^{9} π}

Factor

500000 : 5^{6} \cdot 2^{5}

Factor

1 0^{9} : 2^{9} \cdot 5^{9}

= \frac{5 ^{6} \cdot 2 ^{5}}{2 ^{9} \cdot 5 ^{9} π}

Cancel

\frac{2 ^{5} \cdot 5 ^{6}}{2 ^{9} \cdot 5 ^{9} π} : \frac{1}{2 ^{4} \cdot 5 ^{3} π}

= \frac{1}{2 ^{4} \cdot 5 ^{3} π}

2^{4} \cdot 5^{3} π = 2000 π

= \frac{1}{2000 π}

x - 2 x + 2

(e^{- x})^{- 1}

(1 - x)^{2} \cdot (1 + x)^{2}

(e^{\frac{0.7 x}{1.7}})^{2}

(x + 1 + h)^{2} (x - 1 + h)^{2}

What is 1/(2pi)((10000)*(100*10^{-9})) ?
The solution to 1/(2pi)((10000)*(100*10^{-9})) is 1/(2000pi)