What is 1/12 e^{4x}*e^{-x} ?

The solution to 1/12 e^{4x}*e^{-x} is 1/12 e^{3x}

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simplify 1/12 e^{4x}*e^{-x}

simplify

\frac{1}{12} e^{4 x} \cdot e^{- x}

\frac{1}{12} e^{3 x}

Solution steps

\frac{1}{12} e^{4 x} e^{- x}

Apply exponent rule:

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

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

= \frac{1}{12} e^{4 x - x}

Add similar elements:

4 x - x = 3 x

= \frac{1}{12} e^{3 x}

6.43 \cdot 1 0^{- 4}

6.75 \cdot 1 0^{- 2} \cdot 4 π \cdot 11 5^{2} \cdot 0.21

1.6 \cdot 1 0^{- 19} \cdot 2

1.6 \cdot 1 0^{- 19} \cdot 4

(π x)^{- 2}