What is (2e^3)(3.42e^{-2}) ?

The solution to (2e^3)(3.42e^{-2}) is 18.59304…

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simplify (2e^3)(3.42e^{-2})

simplify

(2 e^{3}) (3.42 e^{- 2})

18.59304 \dots

Solution steps

(2 e^{3}) (3.42 e^{- 2})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{3} e^{- 2} = e^{3 - 2}

= 2 \cdot 3.42 e^{3 - 2}

Subtract the numbers:

3 - 2 = 1

= 2 \cdot 3.42 e

Multiply the numbers:

2 \cdot 3.42 = 6.84

= 6.84 e

Multiply the numbers:

6.84 \cdot 2.71828 \dots = 18.59304 \dots

= 18.59304 \dots

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