Question
correct steps to simplify the expression: (4x^(3)*3x^(2))/(6x)
Answers
Answered by
GPT 3.5
To simplify the expression (4x^(3) * 3x^(2))/(6x), follow these steps:
Step 1: Multiply the coefficients (numbers in front of the variables) together. In this case, multiply 4 and 3 to get 12.
(4x^(3) * 3x^(2))/(6x) = (12x^(3) * x^(2))/(6x)
Step 2: Multiply the variables with the same base together. In this case, multiply x^(3) and x^(2) to get x^(5).
(12x^(3) * x^(2))/(6x) = 12x^(5)/(6x)
Step 3: Divide the coefficients. 12 divided by 6 is 2.
12x^(5)/(6x) = 2x^(5)/(x)
Step 4: Simplify the expression by cancelling out common factors. In this case, cancel out one x from the denominator and the x^(5) from the numerator.
2x^(5)/(x) = 2x^(4)
Step 1: Multiply the coefficients (numbers in front of the variables) together. In this case, multiply 4 and 3 to get 12.
(4x^(3) * 3x^(2))/(6x) = (12x^(3) * x^(2))/(6x)
Step 2: Multiply the variables with the same base together. In this case, multiply x^(3) and x^(2) to get x^(5).
(12x^(3) * x^(2))/(6x) = 12x^(5)/(6x)
Step 3: Divide the coefficients. 12 divided by 6 is 2.
12x^(5)/(6x) = 2x^(5)/(x)
Step 4: Simplify the expression by cancelling out common factors. In this case, cancel out one x from the denominator and the x^(5) from the numerator.
2x^(5)/(x) = 2x^(4)