Simplify: \( \left(\frac{2 a^{4}}{b^{8} c^{4}}\right)^{5} \) Entry Tips: 1. Use ^ \( ( \) shift +6\( ) \) for exponents. To type \( x^{2} \) type " \( x^{\wedge} 2^{5} \) 2. If there is more than one "thing" in the numerator or denominator, use parenthesis. To type \( \frac{2 a}{c+4} \) type " \( (2 a) /(c+4)^{n} \)

To simplify the expression: \[ \left(\frac{2 a^{4}}{b^{8} c^{4}}\right)^{5} \] **Step 1:** Apply the exponent to both the numerator and the denominator: \[ \frac{2^{5} \cdot (a^{4})^{5}}{(b^{8})^{5} \cdot (c^{4})^{5}} \] **Step 2:** Simplify the exponents by multiplying them: \[ \frac{32 \cdot a^{20}}{b^{40} \cdot c^{20}} \] **Final Simplified Form:** \[ \frac{32\, a^{20}}{b^{40}\, c^{20}} \]