Please help with the below question. I think my answer is correct but not sure.
The area of a rectangle can be found using the formula A=lw. The length of the rectangle is 14a6^b7^c13^ and the width of the rectangle is
(7a9^b-3^c18^)2^ What expression represents the area of the rectangle:
A = (14a6^b7^c13^)(7a9^b-3^c18^)2^
Since they are asking for an expression, I am thinking I don't need to work the problem??
Thank you
Look at my reply here:
http://www.jiskha.com/display.cgi?id=1488737021
You have the same kind of gibberish, please stick to one "name".
To find the area of a rectangle, you multiply the length by the width. In this case, the length of the rectangle is given as (14a6^b7^c13^) and the width is given as [(7a9^b-3^c18^)]^2.
To find the area, you need to multiply the length and width expressions together.
[(14a6^b7^c13^) * [(7a9^b-3^c18^)]^2
To simplify this expression, you can follow these steps:
1. Simplify the exponent in the width expression: [(7a9^b-3^c18^)]^2 = (7a9^b-3^c18^) * (7a9^b-3^c18^)
2. Multiply the length and width expressions: (14a6^b7^c13^) * [ (7a9^b-3^c18^) * (7a9^b-3^c18^) ]
3. Multiply the coefficients: 14 * 7 = 98
4. Multiply the variables with the same base by adding their exponents: a6^b7^c13^ * a9^b-3^c18^ = a(6+9)^b(7+(-3))^c(13+18) = a15^b4^c31^
5. Simplify the width expression resulting from Step 1: (7a9^b-3^c18^) * (7a9^b-3^c18^) = 49a18^b-6^c36^
6. Multiply the results from Step 3 and Step 5: 98 * 49a18^b-6^c36^
So, the expression representing the area of the rectangle is: 98 * 49a18^b-6^c36^