Respuesta :

Answer:

B. 1/25

Step-by-step explanation:

This question asks us to find (-2), or f(x) when x is equal to -2.

We know that f(x)=5^x. We also know that we are trying to find f(-2). Therefore, we must substitute -2 in for x.

f(x)=5^x

x= -2

f(-2)= 5^-2

Negative exponents follow the rule:

x^-b= 1/x^b

Rewrite the exponent according to this rule.

5^-2=1/5^2

f(-2)= 1/5^2

Evaluate the exponent in the denominator.

5^2=5*5=25

f(-2)=1/25

f(-2) is equal to 1/25, therefore B is the correct answer.

Answer:

Ok,you just need to replace the x for -2

F(x)=5^x

[tex]f(-2)=5^{-2}[/tex]

[tex]f(-2)=\frac{1}{25}[/tex]

So, the correct answer is B

I hope this help you :)