Solve - 81 =- 85 b^41

Evaluate

- 81 = - 85 b^{4} \times 1

Multiply the terms

- 81 = - 85 b^{4}

Swap the sides of the equation

- 85 b^{4} = - 81

Change the signs on both sides of the equation

85 b^{4} = 81

Divide both sides

\frac{85 b ^{4}}{85} = \frac{81}{85}

Divide the numbers

b^{4} = \frac{81}{85}

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

b = \pm 4 \frac{81}{85}

Simplify the expression

More Steps

b = \pm \frac{3 4 8 5 ^{3}}{85}

Separate the equation into 2 possible cases

b = \frac{3 4 8 5 ^{3}}{85} b = - \frac{3 4 8 5 ^{3}}{85}

Solution

b_{1} = - \frac{3 4 8 5 ^{3}}{85}, b_{2} = \frac{3 4 8 5 ^{3}}{85}

Alternative Form

b_{1} \approx - 0.988022, b_{2} \approx 0.988022

Solve the equation