What is (5e^{3t})(15e^{3t}) ?

The solution to (5e^{3t})(15e^{3t}) is 75e^{6t}

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simplify (5e^{3t})(15e^{3t})

simplify

(5 e^{3 t}) (15 e^{3 t})

75 e^{6 t}

Solution steps

(5 e^{3 t}) (15 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}

= 5 \cdot 15 e^{3 t + 3 t}

Add similar elements:

3 t + 3 t = 6 t

= 5 \cdot 15 e^{6 t}

Multiply the numbers:

5 \cdot 15 = 75

= 75 e^{6 t}

e^{- a t} \frac{d}{d t} (y e^{a t})

2.06115 \cdot 1 0^{- 9}

e^{4 x} \cdot e^{- 3 x}

g^{5} (g^{3} s^{3})

e^{- 6 ∣ t ∣}