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Popular >

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

Solution

simplify

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

Solution

5 e^{2 x + 3}

Solution steps

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

Apply exponent rule:

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

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

= 5 e^{x + x + 3}

Add similar elements:

x + x = 2 x

= 5 e^{2 x + 3}

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Frequently Asked Questions (FAQ)

What is e^x*5e^{x+3} ?
The solution to e^x*5e^{x+3} is 5e^{2x+3}