Solve (5y^6)2 = 24

Evaluate

5 y^{6} \times 2 = 24

Multiply the numbers

10 y^{6} = 24

Divide both sides

\frac{10 y ^{6}}{10} = \frac{24}{10}

Divide the numbers

y^{6} = \frac{24}{10}

Cancel out the common factor 2

y^{6} = \frac{12}{5}

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

y = \pm 6 \frac{12}{5}

Simplify the expression

More Steps

y = \pm \frac{6 37500}{5}

Separate the equation into 2 possible cases

y = \frac{6 37500}{5} y = - \frac{6 37500}{5}

Solution

y_{1} = - \frac{6 37500}{5}, y_{2} = \frac{6 37500}{5}

Alternative Form

y_{1} \approx - 1.157094, y_{2} \approx 1.157094

Solve the equation