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)=(1)/(x^a).`

Therefore, from equation (i), we get

`E\\\\=b^2c^(-1)\\\\=8^2* (-4)^(-1)\\\\\\=(64)/(-4)\\\\=-16.`

Thus, option (B) is correct.