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Directions: Compare the values of the following numbers written in exponential notation using <, >, or =.3⁴ ___ 2⁵*

Question

Directions: Compare the values of the following numbers written in exponential notation using <, >, or =.3⁴ ___ 2⁵*

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Solution

To compare the values of the numbers written in exponential notation, we first need to calculate the actual values of these numbers.

  1. Calculate the value of 3⁴: 3⁴ = 3 * 3 * 3 * 3 = 81

  2. Calculate the value of 2⁵: 2⁵ = 2 * 2 * 2 * 2 * 2 = 32

Now, we can compare these two values:

81 > 32

So, 3⁴ > 2⁵.

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