Respuesta :

Answer:

-16

Step-by-step explanation:

b^2  *c^-1

Let b=8 and c=-4

(8)^2 * (-4)^-1

The negative exponent goes to the denominator

64 * 1/(-4)^1

64 *1/(-4)

-16

For this case we must evaluate the following expression:

[tex](b ^ 2) (c ^{ -1})[/tex]

When [tex]b = 8[/tex] and [tex]c = -4[/tex]

By power properties we have to:

[tex]a ^ {-1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Then, we can rewrite the expression as:

[tex](b ^ 2) * (\frac {1} {c}) = \frac {b ^ 2} {c}[/tex]

Substituting the values we have:

[tex]\frac {8 ^ 2} {- 4} = \frac {64} {- 4} = - 16[/tex]

Answer:

-16