r6=43746

Take the 6th root of both sides of the equation to eliminate the exponent on the left side.

r=±437466

Simplify the right side of the equation.

Divide 4374 by 6.

r=±7296

Rewrite 729 as 36.

r=±366

Pull terms out from under the radical, assuming positive real numbers.

r=±3

r=±3

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

r=3

Next, use the negative value of the ± to find the second solution.

r=-3

The complete solution is the result of both the positive and negative portions of the solution.

r=3,-3

r=3,-3

r=3,-3

Solve for r r^6=4374/6