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Popular >

simplify 5e^{2t}*5e^{2t}

Solution

simplify

5 e^{2 t} \cdot 5 e^{2 t}

Solution

25 e^{4 t}

Solution steps

5 e^{2 t} \cdot 5 e^{2 t}

Apply exponent rule:

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

5 \cdot 5 = 5^{1 + 1}

= e^{2 t} \cdot 5^{1 + 1} e^{2 t}

Add the numbers:

1 + 1 = 2

= e^{2 t} \cdot 5^{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}

= 5^{2} e^{2 t + 2 t}

Add similar elements:

2 t + 2 t = 4 t

= 5^{2} e^{4 t}

5^{2} = 25

= 25 e^{4 t}

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Frequently Asked Questions (FAQ)

What is 5e^{2t}*5e^{2t} ?
The solution to 5e^{2t}*5e^{2t} is 25e^{4t}