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Popular >

simplify e^t(15e^{-t})

Solution

simplify

e^{t} (15 e^{- t})

Solution

15

Solution steps

e^{t} (15 e^{- t})

Apply exponent rule:

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

e^{t} e^{- t} = e^{t - t}

= 15 e^{t - t}

Add similar elements:

t - t = 0

= 15 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 15 \cdot 1

Multiply the numbers:

15 \cdot 1 = 15

= 15

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Frequently Asked Questions (FAQ)

What is e^t(15e^{-t}) ?
The solution to e^t(15e^{-t}) is 15