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Popular >

simplify 2e^t*2e^t

Solution

simplify

2 e^{t} \cdot 2 e^{t}

Solution

4 e^{2 t}

Solution steps

2 e^{t} \cdot 2 e^{t}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

e^{t} e^{t} = e^{t + t}

= 2^{2} e^{t + t}

Add similar elements:

t + t = 2 t

= 2^{2} e^{2 t}

2^{2} = 4

= 4 e^{2 t}

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Frequently Asked Questions (FAQ)

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