We are asked to evaluate the expression $(-2)^4 \div (-2)^3$.AlgebraExponentsExponent RulesOrder of Operations2025/5/41. Problem DescriptionWe are asked to evaluate the expression (−2)4÷(−2)3(-2)^4 \div (-2)^3(−2)4÷(−2)3.2. Solution StepsWe can use the exponent rule aman=am−n\frac{a^m}{a^n} = a^{m-n}anam=am−n.Thus, we have:(−2)4÷(−2)3=(−2)4(−2)3(-2)^4 \div (-2)^3 = \frac{(-2)^4}{(-2)^3}(−2)4÷(−2)3=(−2)3(−2)4Applying the exponent rule:(−2)4(−2)3=(−2)4−3\frac{(-2)^4}{(-2)^3} = (-2)^{4-3}(−2)3(−2)4=(−2)4−3(−2)4−3=(−2)1(-2)^{4-3} = (-2)^1(−2)4−3=(−2)1(−2)1=−2(-2)^1 = -2(−2)1=−23. Final Answer-2