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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, we observe how many times the number 5 is being multiplied by itself.
Let's break it down step by step:
1. Count the number of times the number 5 appears in the multiplication:
- We have six 5's being multiplied together: [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex].
2. In exponential notation, we write this as [tex]\(5^6\)[/tex]. Here:
- The number 5 is the base.
- The number 6 is the exponent, which tells us that the base (5) is multiplied by itself 6 times.
Therefore, the expression rewritten in exponential notation is [tex]\(5^6\)[/tex].
Checking the options given:
- [tex]\(5^6\)[/tex] matches our rewritten expression.
- The other options are different numbers or expressions, like 15,625 (the numerical value of [tex]\(5^6\)[/tex]), 30, and [tex]\(6^5\)[/tex].
So, the correct answer is [tex]\(5^6\)[/tex].
Let's break it down step by step:
1. Count the number of times the number 5 appears in the multiplication:
- We have six 5's being multiplied together: [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex].
2. In exponential notation, we write this as [tex]\(5^6\)[/tex]. Here:
- The number 5 is the base.
- The number 6 is the exponent, which tells us that the base (5) is multiplied by itself 6 times.
Therefore, the expression rewritten in exponential notation is [tex]\(5^6\)[/tex].
Checking the options given:
- [tex]\(5^6\)[/tex] matches our rewritten expression.
- The other options are different numbers or expressions, like 15,625 (the numerical value of [tex]\(5^6\)[/tex]), 30, and [tex]\(6^5\)[/tex].
So, the correct answer is [tex]\(5^6\)[/tex].
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Rewritten by : Jeany
