Solve 859 = k^609

Evaluate

859 = k^{6} \times 9

Use the commutative property to reorder the terms

859 = 9 k^{6}

Swap the sides of the equation

9 k^{6} = 859

Divide both sides

\frac{9 k ^{6}}{9} = \frac{859}{9}

Divide the numbers

k^{6} = \frac{859}{9}

Take the root of both sides of the equation and remember to use both positive and negative roots

k = \pm 6 \frac{859}{9}

Simplify the expression

More Steps

k = \pm \frac{6 69579}{3}

Separate the equation into 2 possible cases

k = \frac{6 69579}{3} k = - \frac{6 69579}{3}

Solution

k_{1} = - \frac{6 69579}{3}, k_{2} = \frac{6 69579}{3}

Alternative Form

k_{1} \approx - 2.137758, k_{2} \approx 2.137758

Solve the equation