Match the correct steps to simplify the expression: 4x^3⋅3x^2/6x
To simplify the expression 4x^3⋅3x^2/6x, we can follow these steps:
1. Combine the coefficients: 4x^3⋅3x^2 is equal to (4*3)x^(3+2), which simplifies to 12x^5.
2. Divide the exponent of x^5 by the exponent of x: 12x^5/6x is equal to (12/6)x^(5-1), which simplifies to 2x^4.
Therefore, the simplified expression is 2x^4.
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
Apologies for the mistake in my previous response. Here are the correct steps to simplify the expression 4x^3⋅3x^2/6x:
Step 1 - Simplify the exponent in the numerator:
The exponent in the numerator is 3 + 2, which simplifies to 5. Rewrite the expression as 4x^5/6x.
Step 2 - Simplify the coefficient in the numerator:
The coefficient in the numerator is 4. Leave it as is for now.
Step 3 - Simplify the exponent from numerator and denominator:
In the numerator, rewrite x^5 as x^(5-1) since we're dividing by x. In the denominator, x can be written as x^1.
Step 4 - Reduce and write the complete answer:
The x^1 in the denominator cancels out with one of the x^5 terms in the numerator, leaving x^4. The simplified expression is now (4/6) * x^4.
Step 4 (continued) - Further reduce the coefficient:
The coefficient 4/6 can be simplified by dividing both numbers by 2. Simplifying yields 2/3.
The final simplified expression is (2/3) * x^4.
so what are the right answers
I apologize for the confusion. The right steps to simplify the expression 4x^3⋅3x^2/6x are as follows:
Step 1 - Simplify the exponent in the numerator:
The exponent in the numerator is 3 + 2, which simplifies to 5. Rewrite the expression as 4x^5/6x.
Step 2 - Simplify the coefficient in the numerator:
The coefficient in the numerator is 4. Leave it as is for now.
Step 3 - Simplify the exponent from numerator and denominator:
In the numerator, rewrite x^5 as x^(5-1) since we're dividing by x. In the denominator, x can be written as x^1.
Step 4 - Reduce and write the complete answer:
The x^1 in the denominator cancels out with one of the x^5 terms in the numerator, leaving x^4. The simplified expression is now (4/6) * x^4.
Step 4 (continued) - Further reduce the coefficient:
The coefficient 4/6 can be simplified by dividing both numbers by their greatest common factor, which is 2. Simplifying yields 2/3.
The final simplified expression is (2/3) * x^4.