What is 4000pi*4.7*10^{-3} ?

The solution to 4000pi*4.7*10^{-3} is 59.06194…

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simplify 4000pi4.710^{-3}

simplify

4000 π \cdot 4.7 \cdot 1 0^{- 3}

59.06194 \dots

Solution steps

4000 π 4.7 \cdot 1 0^{- 3}

Apply exponent rule:

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

= 4000 \cdot 4.7 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 4.7 \cdot \frac{1 \cdot 4000 π}{1 0 ^{3}}

\frac{1 \cdot 4000 π}{1 0 ^{3}} = 4 π

= 4 \cdot 4.7 π

Multiply the numbers:

4.7 \cdot 4 = 18.8

= 18.8 π

Multiply the numbers:

18.8 \cdot 3.14159 \dots = 59.06194 \dots

= 59.06194 \dots

e^{- 5 x^{2}}

e^{- 2 x} \cdot 2 e^{2 x}

(2 x^{3}) (2 x^{2})

2 e^{2 x} (x e^{2 x})