contestada

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.
Select one:
a. 3 to the 2 over 3 power inches squared
b. 3 to the 8 over 3 power inches squared
c. 9 inches squared
d. 9 to the 2 over 3 power inches squared

Respuesta :

Banabanana
[tex]A=length *width \\ \\A= \sqrt[3]{81}*3^{ \frac{2}{3}} =\sqrt[3]{3^4}*3^{ \frac{2}{3}} =3^{ \frac{4}{3}}*3^{ \frac{2}{3}}=3^{ \frac{4}{3} + \frac{2}{3}}=3^{ \frac{6}{3}}=3^2=9 \ in^2[/tex]