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

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

Answer :

Sure, I'd be happy to help with that!

The expression [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex] involves multiplying the number 5 by itself six times.

To rewrite this expression in exponential notation, we use the base (which is the repeated number) and the exponent (which tells us how many times the base is multiplied by itself).

So, in this case:
- The base is 5 (because that's the number being multiplied).
- The exponent is 6 (because there are six 5's being multiplied together).

Therefore, [tex]\(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5\)[/tex] can be written in exponential notation as:

[tex]\[ 5^6 \][/tex]

To confirm that this is correct, we can check the value of the expression:

[tex]\[ 5^6 = 5 \times 5 \times 5 \times 5 \times 5 \times 5 = 15,625 \][/tex]

So, the answer to the question is:
[tex]\[ 5^6 \][/tex]

This matches the answer provided in the options, which is:
[tex]\[ 5^6 \][/tex]

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Rewritten by : Jeany