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Popular >

simplify e^{-5x}*2/5 e^{5x}

Solution

simplify

e^{- 5 x} \cdot \frac{2}{5} e^{5 x}

Solution

\frac{2}{5}

+1

Decimal Notation

0.4

Solution steps

e^{- 5 x} \frac{2}{5} e^{5 x}

Apply exponent rule:

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

e^{- 5 x} e^{5 x} = e^{- 5 x + 5 x}

= \frac{2}{5} e^{- 5 x + 5 x}

Add similar elements:

- 5 x + 5 x = 0

= \frac{2}{5} e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot \frac{2}{5}

Multiply:

\frac{2}{5} \cdot 1 = \frac{2}{5}

= \frac{2}{5}

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Frequently Asked Questions (FAQ)

What is e^{-5x}*2/5 e^{5x} ?
The solution to e^{-5x}*2/5 e^{5x} is 2/5