We are asked to evaluate the expression $(-2)^4 \div (-2)^3$.

AlgebraExponentsExponent RulesOrder of Operations
2025/5/4

1. Problem Description

We are asked to evaluate the expression (2)4÷(2)3(-2)^4 \div (-2)^3.

2. Solution Steps

We can use the exponent rule aman=amn\frac{a^m}{a^n} = a^{m-n}.
Thus, we have:
(2)4÷(2)3=(2)4(2)3(-2)^4 \div (-2)^3 = \frac{(-2)^4}{(-2)^3}
Applying the exponent rule:
(2)4(2)3=(2)43\frac{(-2)^4}{(-2)^3} = (-2)^{4-3}
(2)43=(2)1(-2)^{4-3} = (-2)^1
(2)1=2(-2)^1 = -2

3. Final Answer

-2

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