use the product rule to simply the expression . write your answer in exponential notation (-4 raise to the power of 2) ^2
To simplify the expression (-4^2)^2 using the product rule and exponential notation, we first evaluate the inner exponent:
(-4^2)^2 = (-16)^2
Next, we use the product rule for exponents which states that (a^m)^n = a^(m * n). In this case, a is -16, m is 2, and n is 2:
(-16)^2 = -16^(2 * 2)
Now we simplify the exponent:
-16^(2 * 2) = -16^4
Therefore, the simplified expression in exponential notation is -16^4.