Solve 4/15z^5/6z 1/2=8/5

Evaluate

\frac{4}{15} \times \frac{z ^{5}}{6} z \times \frac{1}{2} = \frac{8}{5}

Multiply

More Steps

\frac{z ^{6}}{45} = \frac{8}{5}

Multiply both sides of the equation by 45

\frac{z ^{6}}{45} \times 45 = \frac{8}{5} \times 45

Multiply the terms

z^{6} = \frac{8 \times 45}{5}

Divide the terms

z^{6} = 72

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

z = \pm 672

Separate the equation into 2 possible cases

z = 672 z = - 672

Solution

z_{1} = - 672, z_{2} = 672

Alternative Form

z_{1} \approx - 2.039649, z_{2} \approx 2.039649

Solve the equation