Answer: The correct option is (B) -16.
Step-by-step explanation: We are given to evaluate the value of the following expression for b = 8 and c = -4 :
\(E=b^2c^{-1}.\)
To find the value of expression (i), we need to substitute the values of b and c in equation (i).
We will be using the following property of exponents :
\(x^{-a}=\dfrac{1}{x^a}.\)
Therefore, from equation (i), we get
\(E\\\\=b^2c^{-1}\\\\=8^2\times (-4)^{-1}\\\\\\=\dfrac{64}{-4}\\\\=-16.\)
Thus, option (B) is correct.
