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Answer :
To express the multiplication [tex]$5 \cdot 5 \cdot 5 \cdot 5$[/tex] in exponential notation, you need to determine the base and the exponent.
1. The base is the number that is being multiplied repeatedly. In this expression, the base is 5.
2. Count how many times the base 5 is being multiplied by itself. In this case, there are four 5s: [tex]$5 \cdot 5 \cdot 5 \cdot 5$[/tex].
3. The number of times the base is multiplied is the exponent. Here, the exponent is 4 because there are 4 instances of the number 5.
Therefore, we can write [tex]$5 \cdot 5 \cdot 5 \cdot 5$[/tex] in exponential notation as [tex]$5^4$[/tex].
Additionally, if you were to calculate the value of [tex]$5^4$[/tex], it means you would multiply 5 by itself 4 times:
- First multiplication: [tex]$5 \cdot 5 = 25$[/tex]
- Second multiplication: [tex]$25 \cdot 5 = 125$[/tex]
- Third multiplication: [tex]$125 \cdot 5 = 625$[/tex]
So, [tex]$5^4 = 625$[/tex]. The answer is [tex]$5^4$[/tex].
1. The base is the number that is being multiplied repeatedly. In this expression, the base is 5.
2. Count how many times the base 5 is being multiplied by itself. In this case, there are four 5s: [tex]$5 \cdot 5 \cdot 5 \cdot 5$[/tex].
3. The number of times the base is multiplied is the exponent. Here, the exponent is 4 because there are 4 instances of the number 5.
Therefore, we can write [tex]$5 \cdot 5 \cdot 5 \cdot 5$[/tex] in exponential notation as [tex]$5^4$[/tex].
Additionally, if you were to calculate the value of [tex]$5^4$[/tex], it means you would multiply 5 by itself 4 times:
- First multiplication: [tex]$5 \cdot 5 = 25$[/tex]
- Second multiplication: [tex]$25 \cdot 5 = 125$[/tex]
- Third multiplication: [tex]$125 \cdot 5 = 625$[/tex]
So, [tex]$5^4 = 625$[/tex]. The answer is [tex]$5^4$[/tex].
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