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Popular >

simplify 4e^{5x}*e^{-5x}

Solution

simplify

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

Solution

4

Solution steps

4 e^{5 x} 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}

= 4 e^{5 x - 5 x}

Add similar elements:

5 x - 5 x = 0

= 4 e^{0}

Apply rule

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

e^{0} = 1

= 4 \cdot 1

Multiply the numbers:

4 \cdot 1 = 4

= 4

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Frequently Asked Questions (FAQ)

What is 4e^{5x}*e^{-5x} ?
The solution to 4e^{5x}*e^{-5x} is 4