What is e^{3x}\times 2e^{2x} ?

The solution to e^{3x}\times 2e^{2x} is 2e^{5x}

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simplify e^{3x}\times 2e^{2x}

simplify

e^{3 x} \cdot 2 e^{2 x}

2 e^{5 x}

Solution steps

e^{3 x} \cdot 2 e^{2 x}

Apply exponent rule:

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

e^{3 x} e^{2 x} = e^{3 x + 2 x}

= 2 e^{3 x + 2 x}

Add similar elements:

3 x + 2 x = 5 x

= 2 e^{5 x}

(f \circ g^{- 1})^{- 1}

e^{- 12.394}

3 \cdot 140000 \cdot e^{- 3 \cdot 2}

\frac{x ^{a - 1}}{1 ^{a - 1}}