6. Упростите выражение: a) 2x²y⁸ * (-1\frac{1}{2}xy³)^4; б) x^(n-2) * x^(3-n) * x.

a) 2x²y⁸ * (-1\frac{1}{2}xy³)^4 = 2x²y⁸ * (-\frac{3}{2}xy³)^4 = 2x²y⁸ * (\frac{3}{2})^4 * x^4 * y^(3*4) = 2x²y⁸ * \frac{81}{16}x^4y¹² = \frac{81}{8}x^(2+4)y^(8+12) = \frac{81}{8}x⁶y²⁰ б) x^(n-2) * x^(3-n) * x = x^((n-2) + (3-n) + 1) = x^(n - 2 + 3 - n + 1) = x^(2)