Use the product rule to simplify -7a⁴ b²*3a⁵ b⁶
To simplify -7a⁴ b² * 3a⁵ b⁶ using the product rule, we can multiply the coefficients and add the exponents of like variables.
First, let's multiply the coefficients: -7 * 3 = -21.
Next, let's multiply the like variables a and add their exponents: a⁴ * a⁵ = a⁹.
Similarly, let's multiply the like variables b and add their exponents: b² * b⁶ = b⁸.
Therefore, the simplified form of -7a⁴ b² * 3a⁵ b⁶ is -21a⁹ b⁸.