Expand This!
Complete the missing fields in the table and answer the question below.
| Expanded Form | Exponential form |
| \(5\cdot 5\cdot5\cdot5\) | \(5^4\) |
| \(3\cdot3\cdot3\cdot3\cdot3\) | \(3^5\) |
| \(2\cdot2\cdot2\cdot x \cdot x\) | \(2^3x^2\) |
| 1. | \(4^3x^4y\) |
| \( 3\cdot3\cdot3\cdot x \cdot y \cdot y \cdot y\) | 2. |
| \(4\cdot 4 \cdot 5\cdot 5\cdot5\cdot x \cdot x \cdot x\cdot y \cdot y \cdot y\) | 3. |
| 4. | \(5^3\cdot2^2x^3y\) |
| \(\bigg( \dfrac 12 \bigg)\bigg( \dfrac 12 \bigg)\bigg( \dfrac 12 \bigg)\bigg( \dfrac 12 \bigg)\) | 5. |
| 6. | \((-2)^3(3)^2\) |
In the expression \(x^3\), \(x\) is called the base and 3 is the exponent. The exponent tells you how many times the base is being used as a factor.
7. Which form is easier to use and why?
