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Popular >

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

Solution

simplify

2 e^{2 t} (2 e^{2 t})

Solution

4 e^{4 t}

Solution steps

2 e^{2 t} (2 e^{2 t})

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add similar elements:

2 t + 2 t = 4 t

= 2^{2} e^{4 t}

2^{2} = 4

= 4 e^{4 t}

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Frequently Asked Questions (FAQ)

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