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Popular >

simplify e^{-5x}*3e^{5x}

Solution

simplify

e^{- 5 x} \cdot 3 e^{5 x}

Solution

3

Solution steps

e^{- 5 x} \cdot 3 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}

= 3 e^{- 5 x + 5 x}

Add similar elements:

- 5 x + 5 x = 0

= 3 e^{0}

Apply rule

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

e^{0} = 1

= 3 \cdot 1

Multiply the numbers:

3 \cdot 1 = 3

= 3

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Frequently Asked Questions (FAQ)

What is e^{-5x}*3e^{5x} ?
The solution to e^{-5x}*3e^{5x} is 3