Evaluate 3^7

Problem

3

Solution

1. Identify the expression as a base of 3 raised to the power of 7 which means multiplying 3 by itself seven times.

2. Expand the exponent into a multiplication sequence.

3×3×3×3×3×3×3

3. Group the factors to simplify the calculation.

(3×3×3)×(3×3×3)×3

4. Calculate the product of the groups.

27×27×3

5. Multiply the remaining values.

729×3

6. Determine the final product.

2187

Final Answer

3=2187

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