To simplify this expression, 6x^4⋅3x^2

Question

which would be the correct steps?

To simplify this expression, 6x4⋅3x2
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.

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.

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.

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

Answer 1

To simplify the expression \( 6x^4 \cdot 3x^2 \), the correct steps are:

1. Multiply the coefficients (numbers): \( 6 \times 3 = 18 \).
2. Add the exponents of \( x \): \( 4 + 2 = 6 \).

So, the simplified expression is \( 18x^6 \).

Therefore, the correct choice from the options provided is:

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