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.
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).