Solve z^540-1 - ScanMath

Evaluate

z^{5} \times 40 - 1

To find the roots of the expression,set the expression equal to 0

z^{5} \times 40 - 1 = 0

Use the commutative property to reorder the terms

40 z^{5} - 1 = 0

Move the constant to the right-hand side and change its sign

40 z^{5} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

40 z^{5} = 1

Divide both sides

\frac{40 z ^{5}}{40} = \frac{1}{40}

Divide the numbers

z^{5} = \frac{1}{40}

Take the 5 -th root on both sides of the equation

5 z^{5} = 5 \frac{1}{40}

Calculate

z = 5 \frac{1}{40}

Solution

More Steps

z = \frac{5 4 0 ^{4}}{40}

Alternative Form

z \approx 0.478176

Simplify the expression