To simplify the expression \( 4a^3b \cdot (3ab) \), you can follow these steps: 1. Multiply the coefficients: \( 4 \times 3 = 12 \). 2. Multiply the like terms for \( a \): \( a^3 \cdot a = a^{3+1} = a^4 \). 3. Multiply the like terms for \( b \): \( b \cdot b = b^{1+1} = b^2 \). Putting it all together, we get: \[ 4a^3b \cdot (3ab) = 12a^4b^2 \] Thus, the simplified expression is \( \boxed{12a^4b^2} \).

4a³b*(3ab)=

1 answer

To simplify the expression \( 4a^3b \cdot (3ab) \), you can follow these steps:

Multiply the coefficients: \( 4 \times 3 = 12 \).
Multiply the like terms for \( a \): \( a^3 \cdot a = a^{3+1} = a^4 \).
Multiply the like terms for \( b \): \( b \cdot b = b^{1+1} = b^2 \).

Putting it all together, we get:

\[ 4a^3b \cdot (3ab) = 12a^4b^2 \]

Thus, the simplified expression is \( \boxed{12a^4b^2} \).