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Popular >

simplify 2e^{2x}*2e^x

Solution

simplify

2 e^{2 x} \cdot 2 e^{x}

Solution

4 e^{3 x}

Solution steps

2 e^{2 x} \cdot 2 e^{x}

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= e^{2 x} \cdot 2^{1 + 1} e^{x}

Add the numbers:

1 + 1 = 2

= e^{2 x} \cdot 2^{2} e^{x}

Apply exponent rule:

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

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

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

Add similar elements:

2 x + x = 3 x

= 2^{2} e^{3 x}

2^{2} = 4

= 4 e^{3 x}

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Frequently Asked Questions (FAQ)

What is 2e^{2x}*2e^x ?
The solution to 2e^{2x}*2e^x is 4e^{3x}