(-20 x²y^6z) *(2,5x^5y³z⁴)

To multiply the two expressions \((-20 x^2y^6z)\) and \((2.5 x^5y^3z^4)\), you can follow these steps: 1. **Multiply the coefficients**: \[ -20 \times 2.5 = -50 \] 2. **Multiply the variables**: - For \(x\): \[ x^2 \times x^5 = x^{2+5} = x^7 \] - For \(y\): \[ y^6 \times y^3 = y^{6+3} = y^9 \] - For \(z\): \[ z \times z^4 = z^{1+4} = z^5 \] Putting it all together, we have: \[ (-20 x^2 y^6 z) \times (2.5 x^5 y^3 z^4) = -50 x^7 y^9 z^5 \] So, the final answer is: \[ \boxed{-50 x^7 y^9 z^5} \]