Evaluate 3^9

Problem

3

Solution

1. Identify the expression as a power where the base is 3 and the exponent is 9

2. Expand the expression into a repeated multiplication of the base.

3=3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅3

3. Group the factors to simplify the calculation.

3=9

3=9⋅9=81

3=81⋅81=6561

4. Multiply the result of 3 by the remaining factor of 3

6561⋅3=19683

Final Answer

3=19683

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