What is 3.02e^3*e^{-6} ?

The solution to 3.02e^3*e^{-6} is 0.15035…

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simplify 3.02e^3*e^{-6}

simplify

3.02 e^{3} \cdot e^{- 6}

0.15035 \dots

Solution steps

3.02 e^{3} e^{- 6}

Apply exponent rule:

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

e^{3} e^{- 6} = e^{3 - 6}

= 3.02 e^{3 - 6}

Subtract the numbers:

3 - 6 = - 3

= 3.02 e^{- 3}

Convert element to a decimal form

e^{- 3} = 0.04978 \dots

= 0.04978 \dots \cdot 3.02

Multiply the numbers:

3.02 \cdot 0.04978 \dots = 0.15035 \dots

= 0.15035 \dots

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