Solve m^440i^20200-100

Question

Simplify the expression

- 8000 m^{4} - 100

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- 100 (80 m^{4} + 1)

Show Solution

m_{1} = - \frac{4 500}{20} + \frac{4 500}{20} i, m_{2} = \frac{4 500}{20} - \frac{4 500}{20} i

Alternative Form

m_{1} \approx - 0.236435 + 0.236435 i, m_{2} \approx 0.236435 - 0.236435 i

Evaluate

m^{4} \times 40 i^{2} \times 200 - 100

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

m^{4} \times 40 i^{2} \times 200 - 100 = 0

Evaluate the power

m^{4} \times 40 (- 1) \times 200 - 100 = 0

Multiply

More Steps

- 8000 m^{4} - 100 = 0

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

- 8000 m^{4} = 0 + 100

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

- 8000 m^{4} = 100

Change the signs on both sides of the equation

8000 m^{4} = - 100

Divide both sides

\frac{8000 m ^{4}}{8000} = \frac{- 100}{8000}

Divide the numbers

m^{4} = \frac{- 100}{8000}

Divide the numbers

More Steps

m^{4} = - \frac{1}{80}

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

m = \pm 4 - \frac{1}{80}

Simplify the expression

More Steps

m = \pm (\frac{4 500}{20} - \frac{4 500}{20} i)

Separate the equation into 2 possible cases

m = \frac{4 500}{20} - \frac{4 500}{20} i m = - \frac{4 500}{20} + \frac{4 500}{20} i

Solution

m_{1} = - \frac{4 500}{20} + \frac{4 500}{20} i, m_{2} = \frac{4 500}{20} - \frac{4 500}{20} i

Alternative Form

m_{1} \approx - 0.236435 + 0.236435 i, m_{2} \approx 0.236435 - 0.236435 i

Show Solution