Evaluate 2^-6

Problem

2(−6)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an) for any non-zero base a

2. Apply the rule to the expression by moving the base to the denominator and changing the sign of the exponent.

2(−6)=1/2

3. Calculate the value of the power in the denominator by multiplying the base by itself 6 times.

2=2⋅2⋅2⋅2⋅2⋅2=64

4. Substitute the calculated value back into the fraction.

1/2=1/64

Final Answer

2(−6)=1/64

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