a. \( \frac{\left(n^{4}\right)^{2}}{n^{6}}= \) d. \( \left(\frac{\left(s^{7}\right)}{p}\right)^{8} \times\left(\frac{p}{s^{y}}\right)^{-9}= \)

Calculate or simplify the expression \( \frac{(n^{4})^{2}}{n^{6}} \). Simplify the expression by following steps: - step0: Solution: \(\frac{\left(n^{4}\right)^{2}}{n^{6}}\) - step1: Multiply the exponents: \(\frac{n^{4\times 2}}{n^{6}}\) - step2: Multiply the numbers: \(\frac{n^{8}}{n^{6}}\) - step3: Reduce the fraction: \(\frac{n^{8-6}}{1}\) - step4: Simplify: \(n^{8-6}\) - step5: Divide the terms: \(n^{2}\) Calculate or simplify the expression \( \left(\frac{(s^{7})}{p}\right)^{8} \times\left(\frac{p}{s^{y}}\right)^{-9} \). Simplify the expression by following steps: - step0: Solution: \(\left(\frac{\left(s^{7}\right)}{p}\right)^{8}\left(\frac{p}{s^{y}}\right)^{-9}\) - step1: Evaluate: \(\left(\frac{s^{7}}{p}\right)^{8}\left(\frac{p}{s^{y}}\right)^{-9}\) - step2: Evaluate the power: \(\frac{s^{56}}{p^{8}}\times \left(\frac{p}{s^{y}}\right)^{-9}\) - step3: Evaluate the power: \(\frac{s^{56}}{p^{8}}\times \frac{s^{9y}}{p^{9}}\) - step4: Multiply the terms: \(\frac{s^{56}\times s^{9y}}{p^{8}\times p^{9}}\) - step5: Multiply the terms: \(\frac{s^{9y+56}}{p^{8}\times p^{9}}\) - step6: Multiply the terms: \(\frac{s^{9y+56}}{p^{17}}\) The simplified form of the expression \( \frac{\left(n^{4}\right)^{2}}{n^{6}} \) is \( n^{2} \). The simplified form of the expression \( \left(\frac{\left(s^{7}\right)}{p}\right)^{8} \times\left(\frac{p}{s^{y}}\right)^{-9} \) is \( \frac{s^{9y+56}}{p^{17}} \).