Evaluate 4^-3

Problem

4(−3)

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 rewrite the expression as a fraction with a positive exponent in the denominator.

4(−3)=1/4

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

4=4⋅4⋅4

4=64

4. Substitute the calculated value back into the fraction.

1/4=1/64

Final Answer

4(−3)=1/64

Want more problems? Check here!