16n=n81

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

16⋅81=n⋅n

Rewrite the equation as n⋅n=16⋅81.

n⋅n=16⋅81

Multiply n by n.

n2=16⋅81

Multiply 16 by 81.

n2=1296

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

n=±1296

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

Simplify the right side of the equation.

Rewrite 1296 as 362.

n=±362

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

n=±36

n=±36

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.

n=36

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

n=-36

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

n=36,-36

n=36,-36

n=36,-36

n=36,-36

Solve for n 16/n=n/81