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If the area of the parallelogram is 24a⁵b⁶ square units and the base of the parallelogram is 4a³b⁵, what expression would represent the height?

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Answer: 6a^2b

Step-by-step explanation:

area = base*height

height = area/base

height = (24a^5b^6)/(4a^3b^5)

height = 6a^2b

To divide the variable terms, use the rule that (x^y)/(x^z) = x^(y-z). So for example: (a^5)/(a^3) = a^(5-3) = a^2. The coefficients divide like normal.

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