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

question 182

Multiple Choice

Provide an appropriate response.
-Use the properties of exponents to write the function of the form $f ( t ) = \mathrm { ka } ^ { t }$ , where $\mathrm { k }$ is a constant. $f ( t ) = \left( \frac { 1 } { 2 } \right) ^ { 3 - 4 t }$

• A) \(f ( t ) = 8 \cdot 16 ^ { t }\)
• B) \(f ( t ) = \left( \frac { 1 } { 16 } \right) 8 ^ { t }\)
• C) \(f ( t ) = \left( \frac { 1 } { 8 } \right) 16 ^ { t }\)
• D) \(f ( t ) = \frac { 1 } { 8 } \left( \frac { 1 } { 16 } \right) ^ { t }\)