Solve m^49142/3-8

Question

Simplify the expression

\frac{9142}{3} m^{4} - 8

Evaluate

m^{4} \times \frac{9142}{3} - 8

Solution

\frac{9142}{3} m^{4} - 8

Show Solution

\frac{2}{3} (4571 m^{4} - 12)

Evaluate

m^{4} \times \frac{9142}{3} - 8

Use the commutative property to reorder the terms

\frac{9142}{3} m^{4} - 8

Solution

\frac{2}{3} (4571 m^{4} - 12)

Show Solution

m_{1} = - \frac{4 12 \times 457 1 ^{3}}{4571}, m_{2} = \frac{4 12 \times 457 1 ^{3}}{4571}

Alternative Form

m_{1} \approx - 0.226356, m_{2} \approx 0.226356

Evaluate

m^{4} \times \frac{9142}{3} - 8

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

m^{4} \times \frac{9142}{3} - 8 = 0

Use the commutative property to reorder the terms

\frac{9142}{3} m^{4} - 8 = 0

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

\frac{9142}{3} m^{4} = 0 + 8

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

\frac{9142}{3} m^{4} = 8

Multiply by the reciprocal

\frac{9142}{3} m^{4} \times \frac{3}{9142} = 8 \times \frac{3}{9142}

Multiply

m^{4} = 8 \times \frac{3}{9142}

Multiply

More Steps

Evaluate

8 \times \frac{3}{9142}

Reduce the numbers

4 \times \frac{3}{4571}

Multiply the numbers

\frac{4 \times 3}{4571}

Multiply the numbers

\frac{12}{4571}

m^{4} = \frac{12}{4571}

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

m = \pm 4 \frac{12}{4571}

Simplify the expression

More Steps

Evaluate

4 \frac{12}{4571}

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

\frac{4 12}{4 4571}

Multiply by the Conjugate

\frac{4 12 \times 4 457 1 ^{3}}{4 4571 \times 4 457 1 ^{3}}

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

\frac{4 12 \times 457 1 ^{3}}{4 4571 \times 4 457 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

44571 \times 4 457 1^{3}

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

4 4571 \times 457 1^{3}

Calculate the product

4 457 1^{4}

Reduce the index of the radical and exponent with 4

4571

\frac{4 12 \times 457 1 ^{3}}{4571}

m = \pm \frac{4 12 \times 457 1 ^{3}}{4571}

Separate the equation into 2 possible cases

m = \frac{4 12 \times 457 1 ^{3}}{4571} m = - \frac{4 12 \times 457 1 ^{3}}{4571}

Solution

m_{1} = - \frac{4 12 \times 457 1 ^{3}}{4571}, m_{2} = \frac{4 12 \times 457 1 ^{3}}{4571}

Alternative Form

m_{1} \approx - 0.226356, m_{2} \approx 0.226356

Show Solution