# Solve for x 81x^4=16

81×4=16
Divide each term by 81 and simplify.
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
The complete solution is the result of both the positive and negative portions of the solution.
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

Scroll to top