Solve 60-600 m^43

Question

Simplify the expression

60 - 1800 m^{4}

Evaluate

60 - 600 m^{4} \times 3

Solution

60 - 1800 m^{4}

Show Solution

60 (1 - 30 m^{4})

Evaluate

60 - 600 m^{4} \times 3

Multiply the terms

60 - 1800 m^{4}

Solution

60 (1 - 30 m^{4})

Show Solution

m_{1} = - \frac{4 27000}{30}, m_{2} = \frac{4 27000}{30}

Alternative Form

m_{1} \approx - 0.427287, m_{2} \approx 0.427287

Evaluate

60 - 600 m^{4} \times 3

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

60 - 600 m^{4} \times 3 = 0

Multiply the terms

60 - 1800 m^{4} = 0

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

- 1800 m^{4} = 0 - 60

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

- 1800 m^{4} = - 60

Change the signs on both sides of the equation

1800 m^{4} = 60

Divide both sides

\frac{1800 m ^{4}}{1800} = \frac{60}{1800}

Divide the numbers

m^{4} = \frac{60}{1800}

Cancel out the common factor 60

m^{4} = \frac{1}{30}

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

m = \pm 4 \frac{1}{30}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{30}

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

\frac{4 1}{4 30}

Simplify the radical expression

\frac{1}{4 30}

Multiply by the Conjugate

\frac{4 3 0 ^{3}}{4 30 \times 4 3 0 ^{3}}

Simplify

\frac{4 27000}{4 30 \times 4 3 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

430 \times 4 3 0^{3}

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

4 30 \times 3 0^{3}

Calculate the product

4 3 0^{4}

Reduce the index of the radical and exponent with 4

30

\frac{4 27000}{30}

m = \pm \frac{4 27000}{30}

Separate the equation into 2 possible cases

m = \frac{4 27000}{30} m = - \frac{4 27000}{30}

Solution

m_{1} = - \frac{4 27000}{30}, m_{2} = \frac{4 27000}{30}

Alternative Form

m_{1} \approx - 0.427287, m_{2} \approx 0.427287

Show Solution