Solve for r 1/27=27(r^6)

Math
127=27(r6)
Rewrite the equation as 27(r6)=127.
27(r6)=127
Divide each term by 27 and simplify.
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Divide each term in 27(r6)=127 by 27.
27(r6)27=127⋅127
Cancel the common factor of 27.
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Cancel the common factor.
27r627=127⋅127
Divide r6 by 1.
r6=127⋅127
r6=127⋅127
Multiply 127⋅127.
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Multiply 127 and 127.
r6=127⋅27
Multiply 27 by 27.
r6=1729
r6=1729
r6=1729
Take the 6th root of both sides of the equation to eliminate the exponent on the left side.
r=±17296
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Rewrite 17296 as 167296.
r=±167296
Any root of 1 is 1.
r=±17296
Simplify the denominator.
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Rewrite 729 as 36.
r=±1366
Pull terms out from under the radical, assuming positive real numbers.
r=±13
r=±13
r=±13
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
r=13
Next, use the negative value of the ± to find the second solution.
r=-13
The complete solution is the result of both the positive and negative portions of the solution.
r=13,-13
r=13,-13
r=13,-13
The result can be shown in multiple forms.
Exact Form:
r=13,-13
Decimal Form:
r=0.3‾,-0.3‾
Solve for r 1/27=27(r^6)

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