INTRODUCTORY EXERCISES - Exponents and Exponential Functions

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(1) Evaluate:

(a)

(b)

(c)

( Click On HINT For Some Help , Click On SOLUTION To See The Answer )

(2) Rationalize the numerators of each fraction.

 (a) x - 
     -----
     x2 - 3

 (b)  + 
     ----------
       x - 2

 (c) 

( HINT , SOLUTION )

(3) Simplify each of the following expressions.

  (a) eex

  (b) (e-x)4

  (c) (e3)x

  (d) e-4xe6x

  (e)  et
     ---
      e
  (f)      e5x
      ------------
        2xe2x+x2

( HINT , SOLUTION )

(4) Expand (multiply out).

(a) (1 + e^x)e^0.5x

(b) (3 + e^2x)(4 - e^x)

(c) e^-x(8e^x - 2x)

( HINT , SOLUTION )

(5) Factor.

(a) 2e^x - 4xe^x

(b) 3x²e^2x + 21x⁴e^2x

( HINT , SOLUTION )

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