Question

match each power to the expression with the corresponding number of factors.
$s\cdot s$
$s\cdot s\cdot s$
$s\cdot s\cdot s\cdot s$
$s\cdot s\cdot s\cdot s\cdot s$
$s^3$
$s^4$
$s^5$
$s^2$

Explanation:

Step1: Recall exponent definition

A power \( s^n \) means \( s \) multiplied by itself \( n \) times (n factors of \( s \)).

Step2: Match \( s \cdot s \)

\( s \cdot s \) has 2 factors of \( s \), so it matches \( s^2 \).

Step3: Match \( s \cdot s \cdot s \)

\( s \cdot s \cdot s \) has 3 factors of \( s \), so it matches \( s^3 \).

Step4: Match \( s \cdot s \cdot s \cdot s \)

\( s \cdot s \cdot s \cdot s \) has 4 factors of \( s \), so it matches \( s^4 \).

Step5: Match \( s \cdot s \cdot s \cdot s \cdot s \)

\( s \cdot s \cdot s \cdot s \cdot s \) has 5 factors of \( s \), so it matches \( s^5 \).

Answer:

• \( s \cdot s \) matches \( s^2 \)
• \( s \cdot s \cdot s \) matches \( s^3 \)
• \( s \cdot s \cdot s \cdot s \) matches \( s^4 \)
• \( s \cdot s \cdot s \cdot s \cdot s \) matches \( s^5 \)