Multiply and simplify where possible. For your answer, simply give the “constant” value. For example, if your answer was  then you would just enter “16” in the blank space.      Multiply.   

Simplify the following. The 1/2 is an exponent of the -16.     

Rationalize the denominator and simplify where possible. For your answer, simply give the “constant” value in the denominator. For example, if your answer was  then you would just enter “-5” in the blank space.      Divide.  

Simplify the following using simplest radical form.    

Write the following using positive rational exponents.    

The table lists the approximate value V of a mid-sized sedan for the years 2003 through 2009. The variable t represents the time in years, with  corresponding to 2003. Find the rate of change in the value of the sedan when  using the exponential model . Round your answer to two decimal places. ​  t  3 4 5 6 7 8 9  V  $25,046 $22,596  $20,851  $19,001   $16,226 $15,101   $11,841 ​ ​

Use implicit differentiation to find . ​ ​

Find the area of the region bounded by the graphs of the equations . Include a sketch/picture of the graph.  Round your answer to the nearest whole number. ​

Differentiate the function .  ​

Find  given ​ . ​