Answer :
Certainly! Let's rewrite the expression [tex]\( 4 \cdot 4 \cdot 6 \cdot 4 \cdot 4 \cdot 6 \)[/tex] using exponents.
1. Identify and group the same bases:
- The number 4 appears multiple times.
- The number 6 appears multiple times.
2. Count the occurrences of each number:
- The number 4 appears four times: [tex]\( 4 \cdot 4 \cdot 4 \cdot 4 \)[/tex].
- The number 6 appears two times: [tex]\( 6 \cdot 6 \)[/tex].
3. Rewrite each group using exponents:
- For the number 4: [tex]\( 4 \cdot 4 \cdot 4 \cdot 4 \)[/tex] can be written as [tex]\( 4^4 \)[/tex].
- For the number 6: [tex]\( 6 \cdot 6 \)[/tex] can be written as [tex]\( 6^2 \)[/tex].
Therefore, the expression [tex]\( 4 \cdot 4 \cdot 6 \cdot 4 \cdot 4 \cdot 6 \)[/tex] can be rewritten using exponents as:
[tex]\[ 4^4 \cdot 6^2. \][/tex]
1. Identify and group the same bases:
- The number 4 appears multiple times.
- The number 6 appears multiple times.
2. Count the occurrences of each number:
- The number 4 appears four times: [tex]\( 4 \cdot 4 \cdot 4 \cdot 4 \)[/tex].
- The number 6 appears two times: [tex]\( 6 \cdot 6 \)[/tex].
3. Rewrite each group using exponents:
- For the number 4: [tex]\( 4 \cdot 4 \cdot 4 \cdot 4 \)[/tex] can be written as [tex]\( 4^4 \)[/tex].
- For the number 6: [tex]\( 6 \cdot 6 \)[/tex] can be written as [tex]\( 6^2 \)[/tex].
Therefore, the expression [tex]\( 4 \cdot 4 \cdot 6 \cdot 4 \cdot 4 \cdot 6 \)[/tex] can be rewritten using exponents as:
[tex]\[ 4^4 \cdot 6^2. \][/tex]
