Question

A 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.
P.S. I'm really bad at math

Answer 1

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 2

3^(2/3) is the width

Answer 3

thank you so much