Question

Algebra help? 343 = (x/6) ^2/3

Answer 1

I can only assume that you meant, "Solve for x:"

Apply the exponent 3/2 to both sides of this equation.  The result will be

     3/2

343 = x/6.    

Multiplying both sides by 6 isolates x:

          3/2

6*343           = x                         Since 7^3 = 343,  the expression for x

                                                  can be rewritten as

           3/2

6*(7^3)          =   x                      which can be further simplified, as follows:

x =  6^(3/2)*7^(9/2), or:

x = 6^(3/2)*7^(8/2)*√7, or

x = 6^(3/2)*7^4*√7