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The length of a rectangle is 4a^4 • b^5 and the width is 3a^2 • b^3 what is the expression that represents the area of the rectangle?

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Answer:

The expression for area of rectangle is:
\mathbf{Area\: of\: Rectangle=12a^6b^8}

Explanation:

Length of Rectangle =
4a^4\: .\: b^5

Width of Rectangle =
3a^2\: .\: b^3

We need to find Area of Rectangle.

The formula used is:
Area\: of\: Rectangle=Length* Width

Putting values of length and width and finding area


Area\: of\: Rectangle=Length* Width\\Area\: of\: Rectangle=(4a^4 . b^5)* (3a^2 \:.\: b^3)

We will multiply constants with constants and same variables


Area\: of\: Rectangle=(4)(3)a^4(a^2) b^5(b^3)\\Area\: of\: Rectangle=12a^(4+2)b^(5+3)\\Area\: of\: Rectangle=12a^6b^8

So, The expression for area of rectangle is:
\mathbf{Area\: of\: Rectangle=12a^6b^8}

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