Solve 120/70-13 m^6029

Question

Simplify the expression

\frac{12}{7} - 377 m^{6}

Evaluate

\frac{120}{70} - 13 m^{6} \times 29

Cancel out the common factor 10

\frac{12}{7} - 13 m^{6} \times 29

Solution

\frac{12}{7} - 377 m^{6}

Show Solution

\frac{1}{7} (12 - 2639 m^{6})

Evaluate

\frac{120}{70} - 13 m^{6} \times 29

Cancel out the common factor 10

\frac{12}{7} - 13 m^{6} \times 29

Multiply the terms

\frac{12}{7} - 377 m^{6}

Solution

\frac{1}{7} (12 - 2639 m^{6})

Show Solution

m_{1} = - \frac{6 12 \times 263 9 ^{5}}{2639}, m_{2} = \frac{6 12 \times 263 9 ^{5}}{2639}

Alternative Form

m_{1} \approx - 0.407027, m_{2} \approx 0.407027

Evaluate

\frac{120}{70} - 13 m^{6} \times 29

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

\frac{120}{70} - 13 m^{6} \times 29 = 0

Cancel out the common factor 10

\frac{12}{7} - 13 m^{6} \times 29 = 0

Multiply the terms

\frac{12}{7} - 377 m^{6} = 0

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

- 377 m^{6} = 0 - \frac{12}{7}

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

- 377 m^{6} = - \frac{12}{7}

Change the signs on both sides of the equation

377 m^{6} = \frac{12}{7}

Multiply by the reciprocal

377 m^{6} \times \frac{1}{377} = \frac{12}{7} \times \frac{1}{377}

Multiply

m^{6} = \frac{12}{7} \times \frac{1}{377}

Multiply

More Steps

Evaluate

\frac{12}{7} \times \frac{1}{377}

To multiply the fractions,multiply the numerators and denominators separately

\frac{12}{7 \times 377}

Multiply the numbers

\frac{12}{2639}

m^{6} = \frac{12}{2639}

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

m = \pm 6 \frac{12}{2639}

Simplify the expression

More Steps

Evaluate

6 \frac{12}{2639}

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

\frac{6 12}{6 2639}

Multiply by the Conjugate

\frac{6 12 \times 6 263 9 ^{5}}{6 2639 \times 6 263 9 ^{5}}

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

\frac{6 12 \times 263 9 ^{5}}{6 2639 \times 6 263 9 ^{5}}

Multiply the numbers

More Steps

Evaluate

62639 \times 6 263 9^{5}

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

6 2639 \times 263 9^{5}

Calculate the product

6 263 9^{6}

Reduce the index of the radical and exponent with 6

2639

\frac{6 12 \times 263 9 ^{5}}{2639}

m = \pm \frac{6 12 \times 263 9 ^{5}}{2639}

Separate the equation into 2 possible cases

m = \frac{6 12 \times 263 9 ^{5}}{2639} m = - \frac{6 12 \times 263 9 ^{5}}{2639}

Solution

m_{1} = - \frac{6 12 \times 263 9 ^{5}}{2639}, m_{2} = \frac{6 12 \times 263 9 ^{5}}{2639}

Alternative Form

m_{1} \approx - 0.407027, m_{2} \approx 0.407027

Show Solution