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Divide. (10z⁵u⁴-3z⁵u)-:(-2z⁴u²) Simplify your answer as much as possible.

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Final answer:

Divide the coefficients and subtract the exponents of the variables. The simplified answer is -5z^1u^2 + 1.5z^1u^(-1).

Step-by-step explanation:

To divide the expressions (10z⁵u⁴-3z⁵u) and (-2z⁴u²), we can divide the coefficients and subtract the exponents of the variables. In this case, dividing (10z⁵u⁴-3z⁵u) by (-2z⁴u²) gives us:

(10/-2)z^(5-4)u^(4-2) - (3/-2)z^(5-4)u^(1-2)

Simplifying further, we get:

-5z^(1)u^(2) + 1.5z^(1)u^(-1)

Therefore, the simplified answer is -5z^1u^2 + 1.5z^1u^(-1).

User Ravi Shah
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