Solve 15= 1/3 (8x^6)

Evaluate

15 = \frac{1}{3} \times 8 x^{6}

Multiply the numbers

15 = \frac{8}{3} x^{6}

Swap the sides of the equation

\frac{8}{3} x^{6} = 15

Multiply by the reciprocal

\frac{8}{3} x^{6} \times \frac{3}{8} = 15 \times \frac{3}{8}

Multiply

x^{6} = 15 \times \frac{3}{8}

Multiply

More Steps

x^{6} = \frac{45}{8}

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

x = \pm 6 \frac{45}{8}

Simplify the expression

More Steps

x = \pm \frac{6 360}{2}

Separate the equation into 2 possible cases

x = \frac{6 360}{2} x = - \frac{6 360}{2}

Solution

x_{1} = - \frac{6 360}{2}, x_{2} = \frac{6 360}{2}

Alternative Form

x_{1} \approx - 1.333584, x_{2} \approx 1.333584

Solve the equation