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Question

Evaluate each of the following when x = 2, y = −1.
(2xy)×x2y4×x2×y2

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Solution

To multiply algebraic expressions, we use commutative and associative laws along with the laws of indices, i.e.,​ am×an=am+n.

We have:

2xy×x2y4×x2×y2=2×14×x×x2×x2×y×y×y2=2×14×x1+2+2×y1+1+2=12x5y4

2xy×x2y4×x2×y2=12x5y4

Substituting x = 2 and y = -1 in the result, we get:

12x5y4=1225-14=12×32×1=16

Thus, the answer is 16.

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