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Rewrite [tex]$5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5$[/tex] in exponential notation.

A. 15,625
B. [tex]$6^5$[/tex]
C. [tex]$5^6$[/tex]
D. 30

Answer :

To rewrite [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex] in exponential notation, we need to express the repeated multiplication of the same number using exponents.

1. Identify the Base: In the multiplication [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex], the number being repeatedly multiplied is 5. This will be our base in the exponential expression.

2. Count the Factors: Count how many times the number 5 appears in the multiplication. In this case, the number 5 appears six times.

3. Write in Exponential Form: We can then express this repeated multiplication using an exponent, where the number of times 5 is multiplied by itself becomes the exponent.

So, [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex] can be rewritten as [tex]\(5^6\)[/tex].

In conclusion, the exponential notation for [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex] is [tex]\(5^6\)[/tex].

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Rewritten by : Jeany