What is e^{v^1x}*e^{v^2x}v^2 ?

The solution to e^{v^1x}*e^{v^2x}v^2 is e^{v^2x+vx}v^2

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simplify e^{v^1x}*e^{v^2x}v^2

simplify

e^{v^{1} x} \cdot e^{v^{2} x} v^{2}

e^{v^{2} x + vx} v^{2}

Solution steps

e^{v^{1} x} e^{v^{2} x} v^{2}

Apply exponent rule:

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

e^{v^{1} x} e^{v^{2} x} = e^{v^{1} x + v^{2} x}

= e^{v^{1} x + v^{2} x} v^{2}

Apply rule

a^{1} = a

v^{1} = v

= e^{vx + v^{2} x} v^{2}

(1.5 \cdot 1 0^{- 6}) (\frac{225}{1 ( 1 0 ^{- 4} )})

0.265 \cdot 1.3 3^{2} \cdot 10 \cdot 953 3^{- 0.133}

100 \cdot e^{- 0.4023594781 \cdot 8}

\frac{- 102}{6}

(1.2 \cdot 1 0^{22}) \cdot 6.023 \cdot 1 0^{23}

What is e^{v^1x}*e^{v^2x}v^2 ?
The solution to e^{v^1x}*e^{v^2x}v^2 is e^{v^2x+vx}v^2