Evaluate 4^6

Problem

4

Solution

1. Identify the base and the exponent in the expression 4

2. Expand the expression by writing the base 4 as a factor 6 times.

4×4×4×4×4×4

3. Multiply the factors in pairs to simplify the calculation.

4×4=16

16×16×16

4. Calculate the product of the remaining terms.

16×16=256

256×16=4096

Final Answer

4=4096

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