6k^4 c^3/3k^3 c^6
To simplify the expression (6k^4 c^3)/(3k^3 c^6), divide the coefficients and subtract the exponents of the variables:
6k^4 c^3 / 3k^3 c^6 = (6/3) * (k^4/k^3) * (c^3/c^6)
Simplify each part separately:
6/3 = 2
k^4/k^3 = k^(4-3) = k^1 = k
c^3/c^6 = c^(3-6) = c^(-3) = 1/c^3
Combining the simplified parts:
(6k^4 c^3)/(3k^3 c^6) = 2*k*1/c^3 = 2k/c^3
So the simplified expression is 2k/c^3.
To simplify the expression:
1. Start by canceling out common factors in the numerator and denominator. In this case, we have k^3 and c^3 as common factors.
(6k^4 c^3) / (3k^3 c^6) = (2k^4) / (c^3)
2. Simplify further if possible. In this case, there are no additional common factors to cancel out, so the expression is simplified as:
(2k^4) / (c^3)
Therefore, the simplified expression is 2k^4 / c^3.
To simplify the expression 6k^4 c^3 / 3k^3 c^6, you can divide the corresponding coefficients and then simplify the variables separately.
Step 1: Divide the coefficients
In this case, you have 6 divided by 3, which equals 2. So, the coefficient part of the simplified expression is 2.
Step 2: Simplify the variables
For the variable k, you have k^4 divided by k^3. When dividing variables with the same base, you subtract the exponents. So, k^4 / k^3 is equal to k^(4-3), which simplifies to k^1 or simply k.
Similarly, for the variable c, you have c^3 divided by c^6. Following the same rule as before, you subtract the exponents when dividing variables with the same base. So, c^3 / c^6 is equal to c^(3-6), which simplifies to c^(-3).
Putting it all together, the simplified expression is 2kc^(-3).
Therefore, the simplified form of 6k^4 c^3 / 3k^3 c^6 is 2kc^(-3).