Ask AI: Which expression is equivalent to 14a4b6c−108a−2b3c−5 ? F.7a6b34c5 G.6a2b9c15 H.7b2c24a2 J.7a2b34c15

To find an expression equivalent to \(14a^4b^6c^1 - 108a^{-2}b^3c^{-5}\), let's simplify this step by step. Firstly, factor out the common factor from each term: - \(14a^4b^6c \) - \(108a^{-2}b^3c^{-5} \) The greatest common factor (GCF) here between the numerical coefficients \(14\) and \(108\) is \( 2 \): \[ 2(7a^4b^6c - 54a^{-2}b^3c^{-5}) \] However, from the options given: - \(7a^6b^3c^5\) - \(6a^2b^9c^{15}\) - \(7b^2c^2 \cdot 4a^2\) - \(7a^2b^34c^{15}\) None of these results fit the form directly by factoring out, instead we need to simplify it and examine if they really are reducible from power forms and algebraic manipulation. Hence, let's check the expression: A clear review of answer options suggests directly: Confirming if J. is equivalent can be simplified: \[ 7a^2b^3 \cdot 4c^{15} \] From form \(7a^2b^34c^{15}\) sets: Which still needs consistent approach that matches the none other forms checked correct form solutions from initial assumption. Hence, choose right matching also final valid: It's none direct simplified form given options above without exact valid matching the factoring etc: Determine accurate equilibrium exact, known correct: It seems mismatched options, none exact matching valid simplified directly: Choosing right consistently without fit, none simplified directly but correct: Option: J used simplifies further form etc.