Question

Match the correct steps to simplify the expression: 4x3⋅3x26x

Step 1 - simplify the exponent in the numerator.

Step 2 - Simplify the coefficient in the numerator.

Step 3 - Simplify the exponent from numerator and denominator.

Step 4 - Reduce and write the complete answer.

Answer 1

Step 1 - Simplify the coefficient in the numerator: 4 * 3 = 12.

Step 2 - Simplify the exponent in the numerator: x^3 * x^2 = x^(3+2) = x^5.

Step 3 - Simplify the exponent in the denominator: x^6.

Step 4 - Reduce and write the complete answer:

12x^5 / x^6.

The 12 in the numerator cannot be reduced further. To divide powers of the same base, we subtract the exponent in the denominator from the exponent in the numerator: x^(5-6) = x^(-1).

This gives us a final answer of:

12x^(-1).