What is 2(e^{3t})(e^{-3t}) ?

The solution to 2(e^{3t})(e^{-3t}) is 2

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simplify 2(e^{3t})(e^{-3t})

simplify

2 (e^{3 t}) (e^{- 3 t})

2

Solution steps

2 (e^{3 t}) (e^{- 3 t})

Apply exponent rule:

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

e^{3 t} e^{- 3 t} = e^{3 t - 3 t}

= 2 e^{3 t - 3 t}

Add similar elements:

3 t - 3 t = 0

= 2 e^{0}

Apply rule

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

e^{0} = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

\frac{10}{3} \times \frac{3}{3}

x + 3 3 - x

\frac{e ^{- k x}}{e ^{k x}}

e^{- 4.5} \cdot 4. 5^{4} \frac{1}{4 !}