Solve 62500-4m^630

Question

Simplify the expression

62500 - 120 m^{6}

Evaluate

62500 - 4 m^{6} \times 30

Solution

62500 - 120 m^{6}

Show Solution

20 (3125 - 6 m^{6})

Evaluate

62500 - 4 m^{6} \times 30

Multiply the terms

62500 - 120 m^{6}

Solution

20 (3125 - 6 m^{6})

Show Solution

m_{1} = - \frac{6 24300000}{6}, m_{2} = \frac{6 24300000}{6}

Alternative Form

m_{1} \approx - 2.836502, m_{2} \approx 2.836502

Evaluate

62500 - 4 m^{6} \times 30

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

62500 - 4 m^{6} \times 30 = 0

Multiply the terms

62500 - 120 m^{6} = 0

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

- 120 m^{6} = 0 - 62500

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

- 120 m^{6} = - 62500

Change the signs on both sides of the equation

120 m^{6} = 62500

Divide both sides

\frac{120 m ^{6}}{120} = \frac{62500}{120}

Divide the numbers

m^{6} = \frac{62500}{120}

Cancel out the common factor 20

m^{6} = \frac{3125}{6}

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

m = \pm 6 \frac{3125}{6}

Simplify the expression

More Steps

Evaluate

6 \frac{3125}{6}

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

\frac{6 3125}{6 6}

Multiply by the Conjugate

\frac{6 3125 \times 6 6 ^{5}}{6 6 \times 6 6 ^{5}}

Simplify

\frac{6 3125 \times 6 7776}{6 6 \times 6 6 ^{5}}

Multiply the numbers

More Steps

Evaluate

63125 \times 67776

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

6 3125 \times 7776

Calculate the product

624300000

\frac{6 24300000}{6 6 \times 6 6 ^{5}}

Multiply the numbers

More Steps

Evaluate

66 \times 6 6^{5}

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

6 6 \times 6^{5}

Calculate the product

6 6^{6}

Reduce the index of the radical and exponent with 6

6

\frac{6 24300000}{6}

m = \pm \frac{6 24300000}{6}

Separate the equation into 2 possible cases

m = \frac{6 24300000}{6} m = - \frac{6 24300000}{6}

Solution

m_{1} = - \frac{6 24300000}{6}, m_{2} = \frac{6 24300000}{6}

Alternative Form

m_{1} \approx - 2.836502, m_{2} \approx 2.836502

Show Solution