To find the quotient of the expression 2 x³ x 3 divided by x¹, we first simplify the expression.
The expression 2 x³ x 3 can be rewritten as 6 x³ because 2 x 3 = 6.
Now, we divide 6 x³ by x¹. When dividing variables, we subtract the exponents. So, we have:
- Exponent of x in the numerator: 3
- Exponent of x in the denominator: 1
Subtract the exponent in the denominator from the exponent in the numerator: 3 – 1 = 2.
This means the quotient will have x raised to the power of 2. Thus, we get:
Quotient = 6 x²
In conclusion, when 2 x³ x 3 is divided by x¹, the quotient is 6 x².