Question

Evaluate b2c-1 for b = 8 and c = -4. -16 1/16 16 256

Answer 1

B²c-¹ = (8)²(–4)-¹ = 64(–¼) = –16

Answer 2

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.