Question

The highest power of \(x\) in \[\left\{\left[(2x^6+7)^3+(3x^8-12)^4\right]^5 + \left[(3x^5-12x^2)^5+(x^7+6)^4\right]^6\right\}^3\] is

  1. \(x^{424}\),

  2. \(x^{450}\),

  3. \(x^{500}\),

  4. \(x^{504}\).