Evaluate -2^-3

Problem

−2(−3)

Solution

1. Identify the order of operations, noting that the exponent applies only to the base 2 not to the negative sign.

2. Apply the negative exponent rule, which states that a(−n)=1/(an)

2(−3)=1/2

3. Calculate the value of the denominator by cubing the base.

2=8

4. Substitute the value back into the expression and include the leading negative sign.

−1/8

Final Answer

−2(−3)=−1/8

Want more problems? Check here!