Solve m^42198-1 - ScanMath

Question

Simplify the expression

2198 m^{4} - 1

Evaluate

m^{4} \times 2198 - 1

Solution

2198 m^{4} - 1

Show Solution

m_{1} = - \frac{4 219 8 ^{3}}{2198}, m_{2} = \frac{4 219 8 ^{3}}{2198}

Alternative Form

m_{1} \approx - 0.146047, m_{2} \approx 0.146047

Evaluate

m^{4} \times 2198 - 1

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

m^{4} \times 2198 - 1 = 0

Use the commutative property to reorder the terms

2198 m^{4} - 1 = 0

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

2198 m^{4} = 0 + 1

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

2198 m^{4} = 1

Divide both sides

\frac{2198 m ^{4}}{2198} = \frac{1}{2198}

Divide the numbers

m^{4} = \frac{1}{2198}

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

m = \pm 4 \frac{1}{2198}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{2198}

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

\frac{4 1}{4 2198}

Simplify the radical expression

\frac{1}{4 2198}

Multiply by the Conjugate

\frac{4 219 8 ^{3}}{4 2198 \times 4 219 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

42198 \times 4 219 8^{3}

The product of roots with the same index is equal to the root of the product

4 2198 \times 219 8^{3}

Calculate the product

4 219 8^{4}

Reduce the index of the radical and exponent with 4

2198

\frac{4 219 8 ^{3}}{2198}

m = \pm \frac{4 219 8 ^{3}}{2198}

Separate the equation into 2 possible cases

m = \frac{4 219 8 ^{3}}{2198} m = - \frac{4 219 8 ^{3}}{2198}

Solution

m_{1} = - \frac{4 219 8 ^{3}}{2198}, m_{2} = \frac{4 219 8 ^{3}}{2198}

Alternative Form

m_{1} \approx - 0.146047, m_{2} \approx 0.146047

Show Solution