What is (e^{2x^3})^{-6x^2+3} ?

The solution to (e^{2x^3})^{-6x^2+3} is e^{2x^3(-6x^2+3)}

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simplify (e^{2x^3})^{-6x^2+3}

simplify

(e^{2 x^{3}})^{- 6 x^{2} + 3}

e^{2 x^{3} (- 6 x^{2} + 3)}

Solution steps

(e^{2 x^{3}})^{- 6 x^{2} + 3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{2 x^{3} (- 6 x^{2} + 3)}

- 1^{n} \cdot 2^{n}

((2^{3})^{- 2})^{0.5} \cdot ((0.5)^{0.75})^{- 4}

e^{- 0.7692}

2 e^{- 0.3}

2 e^{- 0.5}

What is (e^{2x^3})^{-6x^2+3} ?
The solution to (e^{2x^3})^{-6x^2+3} is e^{2x^3(-6x^2+3)}