(−7)−3=?
We use the power property for a negative exponent:
b−n=bn1We apply it in the problem:
(−7)−3=(−7)31When we notice that each whole number in parentheses is raised to a negative power (that is, the number and its negative coefficient together), by using the previously mentioned power property we were careful and took this fact into account,
We continue simplifying the expression in the denominator of the fraction, remembering the power property for the power of terms in multiplication:
(am)n=am⋅nWe apply the expression we obtained:
(−7)31=(−1⋅7)31=(−1)3⋅731=−1⋅731=−731=−731
Summarizing the solution to the problem, we obtained that:
(−7)−3=(−7)31=−731=−731
Therefore, the correct answer is option B.
−731