28a^11b^7 divided by 4a^3b^2
To simplify the expression 28a^11b^7 divided by 4a^3b^2, we can use the rules of exponentiation and division.
Step 1: Divide the coefficients (numbers) - 28 divided by 4 equals 7.
Step 2: Divide the variables with the same base (a) by subtracting their exponents - a^11 divided by a^3 equals a^(11 - 3) = a^8.
Step 3: Divide the variables with the same base (b) by subtracting their exponents - b^7 divided by b^2 equals b^(7 - 2) = b^5.
Putting it all together, the expression simplifies to 7a^8b^5.