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To simplify this expression, 6x4⋅3x2

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.

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.

1 answer

To simplify the expression \(6x^4 \cdot 3x^2\), we can follow these steps:

  1. Multiply the coefficients: Multiply the numbers 6 and 3 together.
  2. Multiply the variables: For the variable \(x\), add the exponents \(4\) and \(2\) together, since we are multiplying like bases.

Therefore, the correct step would be: Multiply 6 x 3 for the numbers; then add 2 + 4 for the exponent on x.

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