What is 6e^{3t}*18e^{3t} ?

The solution to 6e^{3t}*18e^{3t} is 108e^{6t}

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simplify 6e^{3t}*18e^{3t}

simplify

6 e^{3 t} \cdot 18 e^{3 t}

108 e^{6 t}

Solution steps

6 e^{3 t} \cdot 18 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}

= 6 \cdot 18 e^{3 t + 3 t}

Add similar elements:

3 t + 3 t = 6 t

= 6 \cdot 18 e^{6 t}

Multiply the numbers:

6 \cdot 18 = 108

= 108 e^{6 t}

(1 + x) e^{- x}

c^{d} \cdot c^{e}

(\frac{x}{w})^{- 5}

6.03 \cdot 1 0^{- 4}

6.8 \cdot 1 0^{- 3}