Question

simplify. express your answer using exponents.
$(w^{12}x^{-4})^{-12}$

Explanation:

Step1: Apply power of a product rule

$$(w^{12}x^{-4})^{-12} = (w^{12})^{-12} \cdot (x^{-4})^{-12}$$

Step2: Apply power of a power rule

$$(w^{12})^{-12} = w^{12 \times (-12)}, \quad (x^{-4})^{-12} = x^{-4 \times (-12)}$$

Step3: Calculate exponents

$$w^{-144} \cdot x^{48} = \frac{x^{48}}{w^{144}}$$

Answer:

$\frac{x^{48}}{w^{144}}$