Final answer to the problem
${\left(-1\right)}^{nx^{2n}}$
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Step-by-step Solution
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1
Simplify $\left({\left(-1\right)}^n\right)^{\left(x^{2n}\right)}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $n$ and $n$ equals $x^{2n}$
${\left(-1\right)}^{nx^{2n}}$
Final answer to the problem
${\left(-1\right)}^{nx^{2n}}$