81×4=16

Divide each term in 81×4=16 by 81.

81×481=1681

Cancel the common factor of 81.

Cancel the common factor.

81×481=1681

Divide x4 by 1.

x4=1681

x4=1681

x4=1681

Take the 4th root of both sides of the equation to eliminate the exponent on the left side.

x=±16814

Simplify the right side of the equation.

Rewrite 16814 as 164814.

x=±164814

Simplify the numerator.

Rewrite 16 as 24.

x=±244814

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

x=±2814

x=±2814

Simplify the denominator.

Rewrite 81 as 34.

x=±2344

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

x=±23

x=±23

x=±23

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.

x=23

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

x=-23

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

x=23,-23

x=23,-23

x=23,-23

The result can be shown in multiple forms.

Exact Form:

x=23,-23

Decimal Form:

x=0.6‾,-0.6‾

Solve for x 81x^4=16