# Evaluate r^(6/7)=64 r67=64
Raise each side of the equation to the 76 power to eliminate the fractional exponent on the left side.
(r67)76=±(64)76
Solve the equation for r.
Simplify the right side of the equation.
Simplify the expression.
Rewrite 64 as 26.
r=±(26)76
Apply the power rule and multiply exponents, (am)n=amn.
r=±26(76)
r=±26(76)
Cancel the common factor of 6.
Cancel the common factor.
r=±26(76)
Rewrite the expression.
r=±27
r=±27
Raise 2 to the power of 7.
r=±128
r=±128
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=128
Next, use the negative value of the ± to find the second solution.
r=-128
The complete solution is the result of both the positive and negative portions of the solution.
r=128,-128
r=128,-128
r=128,-128
Evaluate r^(6/7)=64

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