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QuestionMathematics

What is 6×6×6×6×6 in exponential form?
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Answer

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Step 1:
I'll solve this step by step using the specified LaTeX formatting guidelines:

Step 2:
: Recognize the Repeated Multiplication

The problem involves multiplying 6 by itself 5 times. This is a perfect scenario for using exponentiation.

Step 3:
: Convert to Exponential Form

6 \times 6 \times 6 \times 6 \times 6 = 6^{5}
When we multiply a number by itself multiple times, we can express this using exponents. In this case, we have:

Step 4:
: Calculate the Value

6^{5} = 6 \times 6 \times 6 \times 6 \times 6 = 7,776
Let's calculate the actual value to verify:

Final Answer

Key Insights: - Exponentiation is a shorthand way of representing repeated multiplication - The base (6) is multiplied by itself the number of times indicated by the exponent (5) - This allows for more compact and efficient representation of large numbers