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

A. [tex]$4^5$[/tex]
B. [tex]$5^3$[/tex]
C. 625
D. [tex]$5^4$[/tex]

Answer :

To express [tex]\(5 \cdot 5 \cdot 5 \cdot 5\)[/tex] in exponential notation, we need to identify the base number and how many times it is being multiplied by itself.

1. Identify the base: Here, the number 5 is being multiplied repeatedly.

2. Count how many times the base is multiplied: The number 5 is multiplied by itself four times.

3. Write in exponential form: When a number is multiplied by itself repeatedly, we can write it as a power or exponent. In this case, since 5 is multiplied four times, we write it as [tex]\(5^4\)[/tex].

Thus, [tex]\(5 \cdot 5 \cdot 5 \cdot 5\)[/tex] in exponential notation is [tex]\(5^4\)[/tex].

Based on the options given, the correct answer is [tex]\(5^4\)[/tex].

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