What is 2pi*50*25.47*10^{-3} ?

The solution to 2pi*50*25.47*10^{-3} is 8.00163…

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simplify 2pi5025.47*10^{-3}

simplify

2 π \cdot 50 \cdot 25.47 \cdot 1 0^{- 3}

8.00163 \dots

Solution steps

2 π 50 \cdot 25.47 \cdot 1 0^{- 3}

Apply exponent rule:

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

= 2 \cdot 50 \cdot 25.47 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 25.47 \cdot \frac{1 \cdot 2 \cdot 50 π}{1 0 ^{3}}

\frac{1 \cdot 2 π 50}{1 0 ^{3}} = \frac{π}{10}

= 25.47 \cdot \frac{π}{10}

Multiply fractions:

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

= \frac{π 25.47}{10}

Multiply the numbers:

3.14159 \dots \cdot 25.47 = 80.01636 \dots

= \frac{80.01636 \dots}{10}

Divide the numbers:

\frac{80.01636 \dots}{10} = 8.00163 \dots

= 8.00163 \dots

4 x^{3} \cdot \frac{1}{9} e^{- 3 x}

(4 \cdot 1 0^{3}) (1.6 \cdot 1 0^{- 19})

e^{- 100} \cdot 10 0^{95}

(1.2 \cdot 1 0^{- 5}) (1.2 \cdot 1 0^{- 3})

e^{4} (e^{3})