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Which of the following is true?

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2⁰ = (100)⁰

10²×10⁸ = 10¹⁶

2²×3³ = 65

2³>3²

answer is A.

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Detailed Solution

Let's check each option.

Option A:

According to the zero property of exponents any number other than 0 raised to the power of zero is always equal to 1.

Therefore, 2⁰ = 1

100⁰ = 1

Hence, 2⁰ = 100⁰

Option B:

10²×10⁸ = 10⁽²⁺⁸⁾ = 10¹⁰

Option C:

2²×3³ = 4×27 = 108

Option D:

2³>3²
8>9

Therefore, only option A is the correct answer.

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