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