Question

examples:
exponential form: \\(3^4\\)
expanded form: \\(3 \cdot 3 \cdot 3 \cdot 3\\)
standard form: 81
word form: \three to the fourth power\ or \three to the power of four\

exponential form:
expanded form:
standard form: 16
word form:

fun fact! the exponent \2\ is read as \squared\ because it can be used when finding the area of a square! for example, if a square has a side length of 4, to find the area you would multiply 4 times 4, or \4 squared!\

Explanation:

Determine the exponential form from the standard form 16

$$ 16 = 2^4 \quad \text{or} \quad 4^2 $$

Using the standard convention for introductory exponent worksheets, we represent \(16\) as \(2^4\) (or \(4^2\)). Let's use \(2^4\).

Write the expanded form

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

Write the word form

$$ \text{"Two to the fourth power" or "Two to the power of four"} $$

Answer:

Based on the standard form value of 16, the completed table fields are:

• Exponential Form: <blank>\(2^4\)</blank> (or <blank>\(4^2\)</blank>)
• Expanded Form: <blank>\(2 \cdot 2 \cdot 2 \cdot 2\)</blank> (or <blank>\(4 \cdot 4\)</blank>)
• Word Form: <blank>"Two to the fourth power" or "Two to the power of four"</blank> (or <blank>"Four squared" or "Four to the second power"</blank>)