Solve 5/7 b^6=8 - ScanMath

Evaluate

\frac{5}{7} b^{6} = 8

Multiply by the reciprocal

\frac{5}{7} b^{6} \times \frac{7}{5} = 8 \times \frac{7}{5}

Multiply

b^{6} = 8 \times \frac{7}{5}

Multiply

More Steps

b^{6} = \frac{56}{5}

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

b = \pm 6 \frac{56}{5}

Simplify the expression

More Steps

b = \pm \frac{6 175000}{5}

Separate the equation into 2 possible cases

b = \frac{6 175000}{5} b = - \frac{6 175000}{5}

Solution

b_{1} = - \frac{6 175000}{5}, b_{2} = \frac{6 175000}{5}

Alternative Form

b_{1} \approx - 1.495787, b_{2} \approx 1.495787

Solve the equation