Solve 7m^5m-6 - ScanMath

Question

Simplify the expression

Solution

7 m^{6} - 6

Evaluate

7 m^{5} \times m - 6

Solution

More Steps

Evaluate

7 m^{5} \times m

Multiply the terms with the same base by adding their exponents

7 m^{5 + 1}

Add the numbers

7 m^{6}

7 m^{6} - 6

Show Solution

Find the roots

Find the roots of the algebra expression

m_{1} = - \frac{6 100842}{7}, m_{2} = \frac{6 100842}{7}

Alternative Form

m_{1} \approx - 0.974635, m_{2} \approx 0.974635

Evaluate

7 m^{5} \times m - 6

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

7 m^{5} \times m - 6 = 0

Multiply

More Steps

Multiply the terms

7 m^{5} \times m

Multiply the terms with the same base by adding their exponents

7 m^{5 + 1}

Add the numbers

7 m^{6}

7 m^{6} - 6 = 0

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

7 m^{6} = 0 + 6

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

7 m^{6} = 6

Divide both sides

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

Divide the numbers

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

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

m = \pm 6 \frac{6}{7}

Simplify the expression

More Steps

Evaluate

6 \frac{6}{7}

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

\frac{6 6}{6 7}

Multiply by the Conjugate

\frac{6 6 \times 6 7 ^{5}}{6 7 \times 6 7 ^{5}}

Simplify

\frac{6 6 \times 6 16807}{6 7 \times 6 7 ^{5}}

Multiply the numbers

More Steps

Evaluate

66 \times 616807

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

6 6 \times 16807

Calculate the product

6100842

\frac{6 100842}{6 7 \times 6 7 ^{5}}

Multiply the numbers

More Steps

Evaluate

67 \times 6 7^{5}

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

6 7 \times 7^{5}

Calculate the product

6 7^{6}

Reduce the index of the radical and exponent with 6

7

\frac{6 100842}{7}

m = \pm \frac{6 100842}{7}

Separate the equation into 2 possible cases

m = \frac{6 100842}{7} m = - \frac{6 100842}{7}

Solution

m_{1} = - \frac{6 100842}{7}, m_{2} = \frac{6 100842}{7}

Alternative Form

m_{1} \approx - 0.974635, m_{2} \approx 0.974635

Show Solution

7m^5m 6

Simplify the expression

Solution

Find the roots

Find the roots of the algebra expression