Solve 81320 -m^6050

Question

Simplify the expression

81320 - 50 m^{6}

Evaluate

81320 - m^{6} \times 50

Solution

81320 - 50 m^{6}

Show Solution

10 (8132 - 5 m^{6})

Evaluate

81320 - m^{6} \times 50

Use the commutative property to reorder the terms

81320 - 50 m^{6}

Solution

10 (8132 - 5 m^{6})

Show Solution

m_{1} = - \frac{6 25412500}{5}, m_{2} = \frac{6 25412500}{5}

Alternative Form

m_{1} \approx - 3.429293, m_{2} \approx 3.429293

Evaluate

81320 - m^{6} \times 50

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

81320 - m^{6} \times 50 = 0

Use the commutative property to reorder the terms

81320 - 50 m^{6} = 0

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

- 50 m^{6} = 0 - 81320

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

- 50 m^{6} = - 81320

Change the signs on both sides of the equation

50 m^{6} = 81320

Divide both sides

\frac{50 m ^{6}}{50} = \frac{81320}{50}

Divide the numbers

m^{6} = \frac{81320}{50}

Cancel out the common factor 10

m^{6} = \frac{8132}{5}

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

m = \pm 6 \frac{8132}{5}

Simplify the expression

More Steps

Evaluate

6 \frac{8132}{5}

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

\frac{6 8132}{6 5}

Multiply by the Conjugate

\frac{6 8132 \times 6 5 ^{5}}{6 5 \times 6 5 ^{5}}

Simplify

\frac{6 8132 \times 6 3125}{6 5 \times 6 5 ^{5}}

Multiply the numbers

More Steps

Evaluate

68132 \times 63125

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

6 8132 \times 3125

Calculate the product

625412500

\frac{6 25412500}{6 5 \times 6 5 ^{5}}

Multiply the numbers

More Steps

Evaluate

65 \times 6 5^{5}

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

6 5 \times 5^{5}

Calculate the product

6 5^{6}

Reduce the index of the radical and exponent with 6

5

\frac{6 25412500}{5}

m = \pm \frac{6 25412500}{5}

Separate the equation into 2 possible cases

m = \frac{6 25412500}{5} m = - \frac{6 25412500}{5}

Solution

m_{1} = - \frac{6 25412500}{5}, m_{2} = \frac{6 25412500}{5}

Alternative Form

m_{1} \approx - 3.429293, m_{2} \approx 3.429293

Show Solution