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Popular >

expand e^{2(2x+ln(2))}

Solution

expand

e^{2 (2 x + l n (2))}

Solution

4 e^{4 x}

Solution steps

e^{2 (2 x + l n (2))}

Expand

2 (2 x + ln (2)) : 4 x + 2 ln (2)

= e^{4 x + 2 l n (2)}

Apply exponent rule:

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

= e^{2 l n (2)} e^{4 x}

Simplify

e^{2 l n (2)} : 2^{2}

= 2^{2} e^{4 x}

2^{2} = 4

= 4 e^{4 x}

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Frequently Asked Questions (FAQ)

What is expand e^{2(2x+ln(2))} ?
The solution to expand e^{2(2x+ln(2))} is 4e^{4x}