Solve m^44998-1 - ScanMath

Question

Simplify the expression

4998 m^{4} - 1

Evaluate

m^{4} \times 4998 - 1

Solution

4998 m^{4} - 1

Show Solution

m_{1} = - \frac{4 499 8 ^{3}}{4998}, m_{2} = \frac{4 499 8 ^{3}}{4998}

Alternative Form

m_{1} \approx - 0.118933, m_{2} \approx 0.118933

Evaluate

m^{4} \times 4998 - 1

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

m^{4} \times 4998 - 1 = 0

Use the commutative property to reorder the terms

4998 m^{4} - 1 = 0

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

4998 m^{4} = 0 + 1

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

4998 m^{4} = 1

Divide both sides

\frac{4998 m ^{4}}{4998} = \frac{1}{4998}

Divide the numbers

m^{4} = \frac{1}{4998}

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

m = \pm 4 \frac{1}{4998}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{4998}

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

\frac{4 1}{4 4998}

Simplify the radical expression

\frac{1}{4 4998}

Multiply by the Conjugate

\frac{4 499 8 ^{3}}{4 4998 \times 4 499 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

44998 \times 4 499 8^{3}

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

4 4998 \times 499 8^{3}

Calculate the product

4 499 8^{4}

Reduce the index of the radical and exponent with 4

4998

\frac{4 499 8 ^{3}}{4998}

m = \pm \frac{4 499 8 ^{3}}{4998}

Separate the equation into 2 possible cases

m = \frac{4 499 8 ^{3}}{4998} m = - \frac{4 499 8 ^{3}}{4998}

Solution

m_{1} = - \frac{4 499 8 ^{3}}{4998}, m_{2} = \frac{4 499 8 ^{3}}{4998}

Alternative Form

m_{1} \approx - 0.118933, m_{2} \approx 0.118933

Show Solution