1. The problem is to simplify the expression $5|x|^{10}\pi$. 2. The expression involves the absolute value of $x$ raised to the 10th power, multiplied by 5 and $\pi$. 3. Recall that $|x|^{n} = (|x|)^n$ means the absolute value of $x$ raised to the power $n$, which is always non-negative. 4. So the expression is $5 \times |x|^{10} \times \pi$. 5. This is already simplified; it represents a function that grows with the 10th power of the absolute value of $x$, scaled by $5\pi$. Final answer: $$5\pi |x|^{10}$$