What is 2*pi*60*1.05*10^{-6} ?

The solution to 2*pi*60*1.05*10^{-6} is 0.00039…

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simplify 2pi601.0510^{-6}

simplify

2 \cdot π \cdot 60 \cdot 1.05 \cdot 1 0^{- 6}

0.00039 \dots

Solution steps

2 π 60 \cdot 1.05 \cdot 1 0^{- 6}

Apply exponent rule:

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

= 2 \cdot 60 \cdot 1.05 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= 1.05 \cdot \frac{1 \cdot 2 \cdot 60 π}{1 0 ^{6}}

\frac{1 \cdot 2 π 60}{1 0 ^{6}} = \frac{3 π}{25000}

= 1.05 \cdot \frac{3 π}{25000}

Multiply fractions:

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

= \frac{3 π 1.05}{25000}

Multiply the numbers:

3 \cdot 1.05 = 3.15

= \frac{3.15 π}{25000}

Multiply the numbers:

3.15 \cdot 3.14159 \dots = 9.89601 \dots

= \frac{9.89601 \dots}{25000}

Divide the numbers:

\frac{9.89601 \dots}{25000} = 0.00039 \dots

= 0.00039 \dots

(3.6689 \cdot 1 0^{- 25}) \cdot (2.99792 \cdot 1 0^{8})^{2}

0.988 \cdot 1 0^{- 2}

e^{- \frac{1.6}{1.5}}

\frac{- 40}{20}

e^{- 0.03} [0.3522 \cdot 0 + (1 - 0.3522) \cdot 10]