Compute the exact value of the function for the given x-value without using a calculator.
-$f ( x ) = \left( \frac { 1 } { 5 } \right) ^ { x }$ for $x = 2$
A) $\frac { 1 } { 10 }$
B) 25
C) $\frac { 1 } { 25 }$
D) $\frac { 1 } { 32 }$

Question

Quizplus · Accepted Answer

The function $f(x) = \left( \frac{1}{5} \right)^x$ for $x = 2$ becomes $\left( \frac{1}{5} \right)^2 = \frac{1}{25}$, which matches choice C.

Compute the Exact Value of the Function for the Given f(x)=(15)xf ( x ) = \left( \frac { 1 } { 5 } \right) ^ { x }f(x)=(51​)x

Compute the Exact Value of the Function for the Given $f ( x ) = \left( \frac { 1 } { 5 } \right) ^ { x }$