To find the quotient of the expression 3x³ ÷ 10x² ÷ 10x ÷ 4 ÷ 2, we need to simplify it step by step.
First, let’s break it down:
- Start with the coefficients: 3, 10, 10, 4, and 2.
- The variables are all some power of x.
Now, simplify the coefficients:
- First, divide 3 by 10: 3 ÷ 10 = 0.3
- Next, divide 0.3 by 10: 0.3 ÷ 10 = 0.03
- Next, divide 0.03 by 4: 0.03 ÷ 4 = 0.0075
- Lastly, divide 0.0075 by 2: 0.0075 ÷ 2 = 0.00375
So the coefficients simplify to 0.00375.
Now let’s simplify the powers of x:
- When dividing like bases, you subtract the exponents. So, we have: x³ ÷ x² = x(3-2) = x1
- Then, x1 ÷ x1 = x(1-1) = x0 = 1.
Putting it all together, the simplified form of the expression is:
0.00375
Therefore, the final answer is 0.00375.