2. Simplify (-10a^3b)(2a^2b) -8a^5b^2 -20a^5b^2 -20a^6b^2 -8a^6b

To simplify the expression $$(-10a^{3}b)(2a^{2}b)$$ , we need to multiply the coefficients and add the exponents of the variables.

Step 1: Multiply the coefficients.
The coefficients are -10 and 2. When we multiply them, we get:
$$-10 \times 2 = -20$$

Step 2: Add the exponents of the variables.
The variable $$a$$ has an exponent of 3 in the first term and an exponent of 2 in the second term. When we add the exponents, we get:
$$3 + 2 = 5$$

The variable $$b$$ has an exponent of 1 in both terms. When we add the exponents, we get:
$$1 + 1 = 2$$

Step 3: Combine the results from Step 1 and Step 2.
We have the coefficient -20 and the variables $$a$$ and $$b$$ with exponents 5 and 2, respectively. Therefore, the simplified expression is:
$$-20a^{5}b^{2}$$

Therefore, the correct answer is $$-20a^{5}b^{2}$$ .