24b^4c^3 / 6b^2c
A) 3b^2c^2
B) 4b^4c^2
C) 4b^3c^2
D) 4b^2c^2
E) 3b^4c^3
I NEED HELP
is the answer d
since 24 / 6 = 4
4-2=2
3-1 =2
Correct, good Work!
To simplify the given expression, we need to simplify the numerator and denominator separately and then divide them.
Let's start with the numerator.
In the numerator, we have 24b^4c^3. We can simplify this expression by dividing each term's coefficient and reducing the exponents if the bases are the same.
The coefficient 24 can be divided by 6 to give us 4.
b^4 can be divided by b^2 to give us b^(4-2) = b^2.
c^3 remains the same.
So, the numerator simplifies to 4b^2c^3.
Now, let's simplify the denominator.
In the denominator, we have 6b^2c. Again, we can simplify this expression by dividing each term's coefficient and reducing the exponents if the bases are the same.
The coefficient 6 can be divided by 6 to give us 1.
b^2 remains the same.
c remains the same.
So, the denominator simplifies to b^2c.
Finally, to divide the numerator by the denominator, we divide each term in the numerator by the corresponding term in the denominator.
(4b^2c^3) / (b^2c) = 4b^(2-2)c^(3-1) = 4b^0c^2 = 4c^2.
Therefore, the simplified expression is 4c^2.
So, the answer is D) 4b^2c^2.