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Express the area of a rectangle with length 4xy and

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width 2y as a monomial.

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Monomial just means just one term.

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So let's think about a rectangle.

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So let me draw a rectangle here.

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And they're telling us that the length is 4xy and they're

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telling us that the width is 2y.

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And just as a bit of a refresher, we know the area of

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a rectangle is just the width times the length, or the

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height times the width, or however you want to view it--

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just the product of its two dimensions.

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So the area of this rectangle, the area is going to be equal

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to this length, 4xy times the width times 2y.

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We can simplify this.

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We have a 4 times a 2.

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Whenever you're just taking a product of a bunch of things

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you can switch the order however you like, as long as

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it's all multiplication.

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So 4 times 2, that gives us 8.

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Then we have this x sitting here.

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That is the only x we have there, so it's 8 times x.

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And then we have a y here.

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We could view that as y to the first. And then we have

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another y there.

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We could view that as y to the first. So y times y.

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You could view that as y squared.

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Or you could say look, y to the first times y to the

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first-- same base, add the two exponents-- 1 plus 1 is 2.

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So it's 8xy squared.

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This y squared covers both that y and that y over there.

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And we're done.

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We've expressed the area of this rectangle as a monomial.

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