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Popular >

simplify (2e^x)(e^{2x})

Solution

simplify

(2 e^{x}) (e^{2 x})

Solution

2 e^{3 x}

Solution steps

(2 e^{x}) (e^{2 x})

Apply exponent rule:

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

e^{x} e^{2 x} = e^{x + 2 x}

= 2 e^{x + 2 x}

Add similar elements:

x + 2 x = 3 x

= 2 e^{3 x}

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Frequently Asked Questions (FAQ)

What is (2e^x)(e^{2x}) ?
The solution to (2e^x)(e^{2x}) is 2e^{3x}