Solve a^48106=180

Evaluate

a^{4} \times 8106 = 180

Use the commutative property to reorder the terms

8106 a^{4} = 180

Divide both sides

\frac{8106 a ^{4}}{8106} = \frac{180}{8106}

Divide the numbers

a^{4} = \frac{180}{8106}

Cancel out the common factor 6

a^{4} = \frac{30}{1351}

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

a = \pm 4 \frac{30}{1351}

Simplify the expression

More Steps

a = \pm \frac{4 30 \times 135 1 ^{3}}{1351}

Separate the equation into 2 possible cases

a = \frac{4 30 \times 135 1 ^{3}}{1351} a = - \frac{4 30 \times 135 1 ^{3}}{1351}

Solution

a_{1} = - \frac{4 30 \times 135 1 ^{3}}{1351}, a_{2} = \frac{4 30 \times 135 1 ^{3}}{1351}

Alternative Form

a_{1} \approx - 0.386026, a_{2} \approx 0.386026

Solve the equation