Simplify the expression. Write the answer with positive exponents only. Assume all variables represent nonzero real numbers. \[ \left(-5 y_{0}^{-7} z\right)\left(7 y^{6} z^{6}\right)=\square \]

Calculate or simplify the expression \( (-5*y^{-7}*z)*(7*y^6*z^6) \). Simplify the expression by following steps: - step0: Solution: \(\left(-5y^{-7}z\right)\left(7y^{6}z^{6}\right)\) - step1: Evaluate: \(\left(-5y^{-7}z\right)\times 7y^{6}z^{6}\) - step2: Remove the parentheses: \(-5y^{-7}z\times 7y^{6}z^{6}\) - step3: Multiply the terms: \(-35y^{-7}zy^{6}z^{6}\) - step4: Multiply the terms: \(-35y^{-7+6}z\times z^{6}\) - step5: Add the numbers: \(-35y^{-1}z\times z^{6}\) - step6: Multiply the terms: \(-35y^{-1}z^{1+6}\) - step7: Add the numbers: \(-35y^{-1}z^{7}\) - step8: Simplify: \(-\frac{35z^{7}}{y}\) The simplified expression is \(-\frac{35z^{7}}{y}\).