Find the function value. If the result is irrational, round your answer to the nearest thousandth.
-Let $f ( x ) = \left( \frac { 1 } { 3 } \right) ^ { x }$. Find $\left( \frac { 5 } { 2 } \right)$.
A) $\frac { 5 } { 6 }$
B) $15.588$
C) $1.357$
D) $0.064$

Question

Quizplus · Accepted Answer

The correct calculation is $f\left( \frac { 5 } { 2 } \right) = \left( \frac { 1 } { 3 } \right) ^ { \frac { 5 } { 2 } }$. This results in an irrational number, which when calculated and rounded to the nearest thousandth, gives approximately 0.064.

Find the Function Value f(x)=(13)xf ( x ) = \left( \frac { 1 } { 3 } \right) ^ { x }f(x)=(31​)x

Find the Function Value $f ( x ) = \left( \frac { 1 } { 3 } \right) ^ { x }$