Question

To simplify this expression, 6x^4 ⋅ 3^x2
which would be the correct steps?(1 point)
Responses:

Add 6 + 3 for the numbers; then multiply 2 x 4 to get the exponent for x.
Add 6 + 3 for the numbers; then multiply 2 x 4 to get the exponent for x.

You cannot simplify this expression because these are not like terms.
You cannot simplify this expression because these are not like terms.

Multiply 6 x 3 for the numbers; then multiply 2 x 4 for the exponent on x.
Multiply 6 x 3 for the numbers; then multiply 2 x 4 for the exponent on x.

Multiply 6 x 3 for the numbers; then add 2 + 4 for the exponent on x.
Multiply 6 x 3 for the numbers; then add 2 + 4 for the exponent on x.

Answer 1

To simplify the expression \(6x^4 \cdot 3^{x^2}\), the correct steps would involve multiplying the numeric coefficients and addressing the exponent on \(x\) properly.

The best response would be:

**Multiply 6 x 3 for the numbers; then keep the exponent \(x^4\) as it is and multiply \(3^{x^2}\)** since \(3^{x^2}\) is not like terms with \(x\). You cannot combine or add exponents because they are not directly related.

So to clarify:
- Multiply the coefficients: \(6 \cdot 3 = 18\)
- Keep \(x^4\) and \(3^{x^2}\) as they are.

The simplified form is \(18x^4 \cdot 3^{x^2}\), but no further simplification can be done because \(x^4\) and \(3^{x^2}\) are not like terms.

If we're looking for wording that aligns closest to the options provided, we select:

**Multiply 6 x 3 for the numbers; then keep the exponent \(x^4\) as it is and do not change \(3^{x^2}\).**