What is 1/21 e^{21x}e^{-4x} ?

The solution to 1/21 e^{21x}e^{-4x} is 1/21 e^{17x}

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simplify 1/21 e^{21x}e^{-4x}

simplify

\frac{1}{21} e^{21 x} e^{- 4 x}

\frac{1}{21} e^{17 x}

Solution steps

\frac{1}{21} e^{21 x} e^{- 4 x}

Apply exponent rule:

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

e^{21 x} e^{- 4 x} = e^{21 x - 4 x}

= \frac{1}{21} e^{21 x - 4 x}

Add similar elements:

21 x - 4 x = 17 x

= \frac{1}{21} e^{17 x}

(8 e^{6} f^{- 4})^{- 1}

x + 4 \cdot x - 5

1 + x^{2} \times 1 - x^{2}

((2^{5})^{2})^{4}

e^{- 3} (- \frac{2}{2} - 1)

What is 1/21 e^{21x}e^{-4x} ?
The solution to 1/21 e^{21x}e^{-4x} is 1/21 e^{17x}