Final answer:
The expressions (-3⁾⁴ and -3⁴ have different values and meanings. In the expression (-3⁾⁴, the negative sign is applied to the number first, then raised to the power. In the expression -3⁴, the negative sign is applied to the final result after raising the number to the power.
Step-by-step explanation:
The expressions (-3⁾⁴ and -3⁴ have different values and meanings.
In the expression (-3⁾⁴, the negative sign is inside the parentheses. This means that the negative sign is applied to the 3 first, and then the result is raised to the power of 4. So, (-3⁾⁴ = (-3)⁴ = 81. The negative sign in this case represents a negative number being raised to the power of 4.
In the expression -3⁴, the negative sign is in front of the number 3. This means that the negative sign is applied to the final result after raising 3 to the power of 4. So, -3⁴ = -(3⁴) = -81. The negative sign in this case represents the negative value of the final result.