Simplify.
3ab^2/4ab * 3a^2 b4a
The question is ambiguous, that is, you will need brackets to establish the correct divisor
The way is sits, the only thing that is divided is the 4
Did you mean:
3ab^2/(4ab) * 3a^2 b4a ?
or perhaps
3ab^2/(4ab * 3a^2 b4a) ?
or several other possibilities.
To simplify the given expression, we can combine the terms that have the same base variables and then simplify the numerical coefficients.
Let's break down the given expression step by step:
Expression: (3ab^2/4ab) * (3a^2 b4a)
Step 1: Simplify the numerical coefficients
3 * 3 = 9
Step 2: Combine the base variables with the same exponent
a * a * a^2 = a^3
b^2 * b^4 = b^(2 + 4) = b^6
a * a * b * b * b * b * b * b = ab^5
After simplifying the numerical coefficients and combining the base variables, we have:
9 * (a^3 * b^6) / (4 * a * b^5)
Step 3: Simplify further by canceling out common factors in the numerators and denominators
Dividing factors (a^3) in the numerator and denominator leaves a^2
Dividing factors (b^5) in the numerator and denominator leaves b^1
9 * (a^2 * b^1) / (4)
Final answer: 9a^2b / 4
So, the simplified form of the given expression is 9a^2b / 4.