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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

Remove parentheses:

(- a) = - a

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

5 x x

(t^{2} e^{2 t}) e^{- 2 t}

1 e^{- \frac{7}{5.1937}}

x^{2} (3 x^{4} e^{- x})

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