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.

Question

jadenwalker76 · Answer

3 to the 2 over 3 power inches squared
 3 to the 8 over 3 power inches squared
 9 inches squared
 9 to the 2 over 3 power inches squared

welshfella · Answer

area = length * width
        =  81 ^ (1/3)  *  3 ^(2/3)

welshfella · Answer

is that correct?

jadenwalker76 · Answer

yes thank you very much i first i thought it was 3^ 8/3

welshfella · Answer

well you need to make the base number = 3

81 = 3^4

so 81^(1/3)  = 3^(4/3

so we have 

3^4/3  *   3 ^ 2/3

now you add the powers

= 3 ^ 6/3  = 3^2

welshfella · Answer

thats it

jadenwalker76 · Answer

Thank u