use the product rule to simply the expression . write your answer in exponential notation (-6x raise to the power of 8) multiply by (5x raised to the power of 2)

To simplify the expression (-6x^8)(5x^2) using the product rule, we need to multiply the coefficients and combine the variables with the same base.

(-6x^8)(5x^2)

Applying the product rule, we multiply the coefficients first:

-6 * 5 = -30

Next, we combine the variables with the same base, x:

x^8 * x^2 = x^ (8+2) = x^10

Therefore, the simplified expression is -30x^10.