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

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

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

simplify

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

108 e^{6 x}

Solution steps

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

Apply exponent rule:

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

e^{3 x} e^{3 x} = e^{3 x + 3 x}

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

Add similar elements:

3 x + 3 x = 6 x

= 6 \cdot 18 e^{6 x}

Multiply the numbers:

6 \cdot 18 = 108

= 108 e^{6 x}

0.542 \cdot 1 0^{- 3} \cdot 1200

e^{\frac{1}{x}} \cdot e^{\frac{1}{x}}

3.1 \cdot 1 0^{- 5} \cdot 2 7^{2}