To simplify the expression \(6x^4 \cdot 3x^2\), the correct steps would be:
- Multiply the coefficients: Multiply \(6\) and \(3\) to get \(18\).
- Add the exponents of \(x\): Since you have \(x^4\) and \(x^2\), you would add the exponents \(4 + 2\) to get \(x^6\).
So, the resulting expression would be:
\[ 6x^4 \cdot 3x^2 = 18x^{4+2} = 18x^6. \]
The correct option from your list is: Multiply 6 x 3 for the numbers; then add 2 + 4 for the exponent on x.