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

Question

 which would be the correct steps?(1 point)
Responses

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

 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 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.
Skip to navigation

Answer 1

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

1. Multiply the coefficients (the numbers): Multiply \( 6 \) and \( 3 \).
2. Add the exponents of like terms (the \( x \) terms): Because the bases (the \( x \)) are the same, you add the exponents \( 4 \) and \( 2 \).

So the correct response would be:

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