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Popular >

simplify 18e^t*18e^t

Solution

simplify

18 e^{t} \cdot 18 e^{t}

Solution

324 e^{2 t}

Solution steps

18 e^{t} \cdot 18 e^{t}

Apply exponent rule:

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

18 \cdot 18 = 1 8^{1 + 1}

= e^{t} \cdot 1 8^{1 + 1} e^{t}

Add the numbers:

1 + 1 = 2

= e^{t} \cdot 1 8^{2} e^{t}

Apply exponent rule:

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

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

= 1 8^{2} e^{t + t}

Add similar elements:

t + t = 2 t

= 1 8^{2} e^{2 t}

1 8^{2} = 324

= 324 e^{2 t}

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Frequently Asked Questions (FAQ)

What is 18e^t*18e^t ?
The solution to 18e^t*18e^t is 324e^{2t}