Question

Which of the following equals 1/6 when evaluating f(-2)?
a.f(x)=2^(x-2)
B.f(x)=-2^(x-6)
C.f(x)=-2^(x-2)
D.f(x)=2^(x-8)

Answer 1

looks like a typo. none of the choices work

Answer 2

When you have a negative exponent the base goes down to the denominator with the exponent as positive.
\(\large x^{-a} = \frac{1}{x^a}\)

You need to make sure that when you substitute \(x\) for -2, that the exponent will be -6. That way you can have \(\frac{1}{6}\).

However, it doesn't seem like none of the choices work in this case.

Answer 3

welcome to os