1. Complete the table as much as you can without using a calculator. (You should be able to fill in three spaces.)

   	-2			-1			0
   (using exponents)
   (decimal approximation)

   1. Plot these powers of 2 in the coordinate plane. ​​​​​​
   2. Connect the points as smoothly as you can.
   3. Use your graph of to estimate the value of the other powers in the table, and write your estimates in the table.

   

2. Let’s investigate .

   1. Write using radical notation.
   2. Use exponent rules to rewrite  in a simpler way.
   3. Raise your estimate of to the third power. What should it be? How close did you get?

3. Let’s investigate .

   1. Write using radical notation.
   2. Use exponent rules to rewrite  in a simpler way.
   3. Raise your estimate of to the third power. What should it be? How close did you get?

1. For each set of 3 numbers, cross out the expression that is not equal to the other two expressions.
   1. , ,
   2. , ,
   3. , ,
   4. , ,
2. For each expression, write an equivalent expression with only positive, whole-number exponents.
3. For each expression, write an equivalent expression in the form .

Group expressions according to whether they are equal. Be prepared to explain your reasoning.