Solve 9w^63=198 - ScanMath

Evaluate

9 w^{6} \times 3 = 198

Multiply the terms

27 w^{6} = 198

Divide both sides

\frac{27 w ^{6}}{27} = \frac{198}{27}

Divide the numbers

w^{6} = \frac{198}{27}

Cancel out the common factor 9

w^{6} = \frac{22}{3}

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

w = \pm 6 \frac{22}{3}

Simplify the expression

More Steps

w = \pm \frac{6 5346}{3}

Separate the equation into 2 possible cases

w = \frac{6 5346}{3} w = - \frac{6 5346}{3}

Solution

w_{1} = - \frac{6 5346}{3}, w_{2} = \frac{6 5346}{3}

Alternative Form

w_{1} \approx - 1.393853, w_{2} \approx 1.393853

Solve the equation