use the product rule to simply the expression . write your answer in exponential notation (-2) raise to the power of 4 multiply by (-2) raised to the power of 3

To simplify the expression (-2)^4 multiplied by (-2)^3 using the product rule, we can combine the exponents of the same base (-2). The product rule states that when multiplying two expressions with the same base, we add their exponents.

(-2)^4 multiplied by (-2)^3

= (-2)^(4+3)

= (-2)^7

Therefore, the simplified expression is (-2)^7 in exponential notation.