Solve z^8=1/256 - ScanMath

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Type your math problem... z^8=1/256

Question

Solve the equation

z_{1} = - \frac{1}{2}, z_{2} = \frac{1}{2}

Alternative Form

z_{1} = - 0.5, z_{2} = 0.5

Evaluate

z^{8} = \frac{1}{256}

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

z = \pm 8 \frac{1}{256}

Simplify the expression

More Steps

Evaluate

8 \frac{1}{256}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{8 1}{8 256}

Simplify the radical expression

\frac{1}{8 256}

Simplify the radical expression

More Steps

Evaluate

8256

Write the number in exponential form with the base of 2

8 2^{8}

Reduce the index of the radical and exponent with 8

2

\frac{1}{2}

z = \pm \frac{1}{2}

Separate the equation into 2 possible cases

z = \frac{1}{2} z = - \frac{1}{2}

Solution

z_{1} = - \frac{1}{2}, z_{2} = \frac{1}{2}

Alternative Form

z_{1} = - 0.5, z_{2} = 0.5

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