Final answer:
To simplify the expression (32u⁶ x-17u⁶ x³ )-:(-4u⁵ x² ), divide the like terms in the numerator and denominator using the rules of exponents. The simplified expression is -8u x^(-1).
Step-by-step explanation:
To simplify the expression (32u⁶ x-17u⁶ x³ )-:(-4u⁵ x² ), we can use the rules of exponents and division. First, we can simplify the numerator by subtracting the exponents of u and x. This gives us 32u⁶ x - 17u⁶ x³. Then, we can simplify the denominator by subtracting the exponents of u and x. This gives us -4u⁵ x². Now, we can divide the numerator by the denominator. Dividing like terms, we get (32/(-4))u^(6-5) x^(1-2), which simplifies to -8u x^(-1).