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

Try This! Expanding

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

The area of a square with side 3.
The volume of a cube with side 5.
\(2\cdot2\cdot2\cdot2\cdot2\)
\(2\cdot2\cdot3\cdot3\cdot3\)
The volume of a cube with side \(\dfrac12\) (express answer in simplified fraction form).
\(9\cdot x\cdot x \cdot x \cdot x\)
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)?
Simplify each of the following and explain how they are different:

\(2x+2x+2x+2x+2x\)

\(2x\cdot 2x\cdot 2x\cdot 2x\cdot 2x\)

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