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Answer :
To rewrite the expression [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex] in exponential notation, you need to count how many times the number 5 is being multiplied by itself.
1. Start by counting the number of 5s in the expression: There are six 5s.
2. In exponential notation, the number that is multiplied is called the "base," and the number of times it's multiplied is called the "exponent."
3. Thus, the expression can be written as [tex]\(5^6\)[/tex]. This means 5 is multiplied by itself a total of six times.
From the options given:
- [tex]\(6^5\)[/tex] is incorrect because it has the wrong base and exponent.
- [tex]\(5^6\)[/tex] is correct.
- 15,625 is the numerical result of the expression [tex]\(5^6\)[/tex], but we are looking for the expression in exponential form, not its value.
- 30 is unrelated to the problem at hand.
Hence, the exponential notation for the expression is [tex]\(5^6\)[/tex].
1. Start by counting the number of 5s in the expression: There are six 5s.
2. In exponential notation, the number that is multiplied is called the "base," and the number of times it's multiplied is called the "exponent."
3. Thus, the expression can be written as [tex]\(5^6\)[/tex]. This means 5 is multiplied by itself a total of six times.
From the options given:
- [tex]\(6^5\)[/tex] is incorrect because it has the wrong base and exponent.
- [tex]\(5^6\)[/tex] is correct.
- 15,625 is the numerical result of the expression [tex]\(5^6\)[/tex], but we are looking for the expression in exponential form, not its value.
- 30 is unrelated to the problem at hand.
Hence, the exponential notation for the expression is [tex]\(5^6\)[/tex].
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Rewritten by : Jeany
