Positive Exponent with a Negative Base
\((-4)^{3}\)
Because we have a positive 3 in the exponent, we will multiply -4 by itself 3 times.
\((-4)^{3}= (-4)(-4)(-4)\)
Three negatives multiplied together is a negative.
\(-64\)
Negative Exponent with a Negative Base
\((-5)^{-2}\)
\(\frac{1}{5^{2}})\)
\(\frac{1}{5\times5})\)
\(\frac{1}{25})\)
Fraction Exponent with a Negative Base
\((-125)^{\frac{1}{3}}\)
\(\sqrt[3]{-125}\)
\(5\)