Solve 2q^64=180 - ScanMath

Evaluate

2 q^{6} \times 4 = 180

Multiply the terms

8 q^{6} = 180

Divide both sides

\frac{8 q ^{6}}{8} = \frac{180}{8}

Divide the numbers

q^{6} = \frac{180}{8}

Cancel out the common factor 4

q^{6} = \frac{45}{2}

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

q = \pm 6 \frac{45}{2}

Simplify the expression

More Steps

q = \pm \frac{6 1440}{2}

Separate the equation into 2 possible cases

q = \frac{6 1440}{2} q = - \frac{6 1440}{2}

Solution

q_{1} = - \frac{6 1440}{2}, q_{2} = \frac{6 1440}{2}

Alternative Form

q_{1} \approx - 1.680211, q_{2} \approx 1.680211

Solve the equation