Simplify $\sqrt[3]{\left(4x^2+3x+1\right)^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{3}$
$\left(4x^2+3x+1\right)^{2\frac{1}{3}}$
2
Multiply $2$ times $\frac{1}{3}$
$\sqrt[3]{\left(4x^2+3x+1\right)^{2}}$
Final answer to the problem
$\sqrt[3]{\left(4x^2+3x+1\right)^{2}}$
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Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.