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QuestionMathematics

What is the exponential form for the expression 8×8×8×8?
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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:
: Identify the Pattern

The expression $$8 \times 8 \times 8 \times 8$$ involves repeated multiplication of the same number.

Step 3:
: Recognize Exponential Notation

When a number is multiplied by itself multiple times, this can be written using exponents. The number of times 8 is multiplied determines the exponent.

Step 4:
: Count Multiplications

In this case, 8 is multiplied 4 times.

Step 5:
: Write in Exponential Form

8 \times 8 \times 8 \times 8 = 8^{4}

Final Answer

Key Insights: - Exponential notation a^{n} means multiplying a by itself n times - In this case, 8 is multiplied 4 times, so the exponent is 4 - 8^{4} = 8 \times 8 \times 8 \times 8 = 4,096