Question

A rectangle has a length of 3/81 and a width of 3^2/3 inches. Find the area of the rectangle.
A. 3^2/3 inches squared
B. 3^8/3 inches squared
C. 9 inches squared
D. 9^2/3 inches squared

Answer 1

exampleA rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle

Answer 2

1. area of rectangle is the length l times the width w
2. length l is cube root of 81 and the 3 ^(2/3) and be simplified to cuberoot((3^2) which is cube root of 9. now they have the same power.
3. (81^(1/3))*(9^(1/3)) is (729^(1/3)) by the exponential law.
4. Using a calculator or your head you get that the cube root of 729 is simply 9.

Answer 3

3^(2/3) is the width

Answer 4

so its A right?

Answer 5

think about it

Answer 6

C?

Answer 7

you sure?

Answer 8

yea? lol idk

Answer 9

its 3 3/6 its 3^2 and thats nine

Answer 10

oh ok i was close thnx :)