EXPS 1 | Lesson 1 | Try This! (Expanding)

Try This!  Expanding

For Questions 1-6, write in exponential form and simplify.

1. The area of a square with side 3.
2. The volume of a cube with side 5.
3. $$2\cdot2\cdot2\cdot2\cdot2$$
4. $$2\cdot2\cdot3\cdot3\cdot3$$
5. The volume of a cube with side $$\dfrac12$$ (express answer in simplified fraction form).
6. $$9\cdot x\cdot x \cdot x \cdot x$$

7. Write an expression for the perimeter of a square with side 3. How is this different from the expression to find the area (Question 1)?
8. Simplify each of the following and explain how they are different:

$$2x+2x+2x+2x+2x$$

$$2x\cdot 2x\cdot 2x\cdot 2x\cdot 2x$$

1. Simplify the expressions $$(-2)^3$$ and $$3(-2)$$ and show mathematically how they are different.