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

Question

Quizplus · Accepted Answer

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

Provide an Appropriate Response f(t)=kat\mathrm { f } ( \mathrm { t } ) = \mathrm { ka } ^ { \mathrm { t } }f(t)=kat

Provide an Appropriate Response $\mathrm { f } ( \mathrm { t } ) = \mathrm { ka } ^ { \mathrm { t } }$