\( 1 \leftarrow \quad \) Use the power rule, the power of a product rule, and the power of a quotient rule to simplify the expression. \[ \left(\frac{-5 x^{2} z^{3}}{y^{4}}\right)^{2} \]

Calculate or simplify the expression \( ((-5*x^2*z^3)/(y^4))^2 \). Simplify the expression by following steps: - step0: Solution: \(\left(\frac{\left(-5x^{2}z^{3}\right)}{y^{4}}\right)^{2}\) - step1: Remove the parentheses: \(\left(\frac{-5x^{2}z^{3}}{y^{4}}\right)^{2}\) - step2: Calculate: \(\left(-\frac{5x^{2}z^{3}}{y^{4}}\right)^{2}\) - step3: Rewrite the expression: \(\frac{\left(5x^{2}z^{3}\right)^{2}}{\left(y^{4}\right)^{2}}\) - step4: Evaluate the power: \(\frac{25x^{4}z^{6}}{y^{8}}\) The simplified expression is \( \frac{25x^{4}z^{6}}{y^{8}} \).