What is (4pi*10^{-7})*0.5*(ln((0.5)/(0.01))+1/3) ?

The solution to (4pi*10^{-7})*0.5*(ln((0.5)/(0.01))+1/3) is 2.66744E-6

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simplify (4pi10^{-7})0.5*(ln((0.5)/(0.01))+1/3)

simplify

(4 π \cdot 1 0^{- 7}) \cdot 0.5 \cdot (ln (\frac{0.5}{0.01}) + \frac{1}{3})

2.66744 E - 6

Solution steps

(4 π 1 0^{- 7}) \cdot 0.5 (ln (\frac{0.5}{0.01}) + \frac{1}{3})

Apply exponent rule:

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

= 4 \cdot 0.5 π \frac{1}{1 0 ^{7}} (\frac{1}{3} + ln (\frac{0.5}{0.01}))

Multiply fractions:

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

= 0.5 \cdot \frac{1 \cdot 4 π}{1 0 ^{7}} (\frac{1}{3} + ln (\frac{0.5}{0.01}))

\frac{1 \cdot 4 π}{1 0 ^{7}} = \frac{π}{2500000}

= 0.5 \cdot \frac{π}{2500000} (\frac{1}{3} + ln (\frac{0.5}{0.01}))

Multiply fractions:

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

= \frac{0.5 π}{2500000} (\frac{1}{3} + ln (\frac{0.5}{0.01}))

\frac{π 0.5}{2500000} = 6.28319 E - 7

= 6.28319 E - 7 (\frac{1}{3} + ln (\frac{0.5}{0.01}))

ln (\frac{0.5}{0.01}) = 3.91202 \dots

= 6.28319 E - 7 (\frac{1}{3} + 3.91202 \dots)

Simplify

= 2.66744 E - 6

0.48214 \cdot 1 0^{- 6} \cdot 30

(e^{- \frac{y}{8}})^{3}

e^{- 2 t} (a cos (4 t) + b sin (4 t))

e^{- 224.285 \cdot 0.03}

4 π \cdot 1 0^{- 7} \cdot 12000

What is (4pi*10^{-7})*0.5*(ln((0.5)/(0.01))+1/3) ?
The solution to (4pi*10^{-7})*0.5*(ln((0.5)/(0.01))+1/3) is 2.66744E-6