Provide an appropriate response.
-Use the properties of exponents to write the function of the form $f ( t ) = k a t$, where $k$ is a constant. $f ( t ) = 3 ^ { 2 t + 3 }$
A) $f ( t ) = 27 \cdot 9 ^ { t }$
B) $f ( t ) = 9 ^ { t } + 27$
C) $f ( t ) = 9 \cdot 27 ^ { t }$
D) $f ( t ) = 27 \cdot 3 ^ { 2 t }$

Question

Quizplus · Accepted Answer

Using the properties of exponents, $3^{2t+3}$ can be rewritten as $3^3 \cdot 3^{2t}$, which simplifies to $27 \cdot 9^t$, matching option A.

Provide an Appropriate Response f(t)=katf ( t ) = k a tf(t)=kat

Provide an Appropriate Response $f ( t ) = k a t$