Simplify each exponential expression in Exercises 23–64. (3a^−5 b^2/12a^3 b^−4)^0

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Identify the expression inside the parentheses: \( \frac{3a^{-5}b^2}{12a^3b^{-4}} \).

Recall the property of exponents: any non-zero number raised to the power of 0 is 1.

Apply this property to the entire expression: \( \left( \frac{3a^{-5}b^2}{12a^3b^{-4}} \right)^0 = 1 \).

Since the expression is raised to the power of 0, the simplified result is 1.

No further simplification is needed as the expression evaluates to 1.

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