What is 4e^{4x}*9e^{-3x} ?

The solution to 4e^{4x}*9e^{-3x} is 36e^x

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simplify 4e^{4x}*9e^{-3x}

simplify

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

36 e^{x}

Solution steps

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

Apply exponent rule:

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

e^{4 x} e^{- 3 x} = e^{4 x - 3 x}

= 4 \cdot 9 e^{4 x - 3 x}

Add similar elements:

4 x - 3 x = x

= 4 \cdot 9 e^{x}

Multiply the numbers:

4 \cdot 9 = 36

= 36 e^{x}

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