Evaluate 3^8

Problem

3

Solution

1. Identify the expression as a power where the base is 3 and the exponent is 8

2. Expand the expression into a product of eight 3.

3=3⋅3⋅3⋅3⋅3⋅3⋅3⋅3

3. Group the factors to simplify the multiplication.

3=9

3=9⋅9=81

4. Multiply the squared results to find the final value.

3=81⋅81

5. Calculate the final product.

81⋅81=6561

Final Answer

3=6561

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