Solve 8a^6=52 - ScanMath

Evaluate

8 a^{6} = 52

Divide both sides

\frac{8 a ^{6}}{8} = \frac{52}{8}

Divide the numbers

a^{6} = \frac{52}{8}

Cancel out the common factor 4

a^{6} = \frac{13}{2}

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

a = \pm 6 \frac{13}{2}

Simplify the expression

More Steps

a = \pm \frac{6 416}{2}

Separate the equation into 2 possible cases

a = \frac{6 416}{2} a = - \frac{6 416}{2}

Solution

a_{1} = - \frac{6 416}{2}, a_{2} = \frac{6 416}{2}

Alternative Form

a_{1} \approx - 1.36611, a_{2} \approx 1.36611

Solve the equation