Solve m^63m-1 - ScanMath

Question

Simplify the expression

3 m^{7} - 1

Evaluate

m^{6} \times 3 m - 1

Solution

More Steps

Evaluate

m^{6} \times 3 m

Multiply the terms with the same base by adding their exponents

m^{6 + 1} \times 3

Add the numbers

m^{7} \times 3

Use the commutative property to reorder the terms

3 m^{7}

3 m^{7} - 1

Show Solution

m = \frac{7 729}{3}

Alternative Form

m \approx 0.854751

Evaluate

m^{6} \times 3 m - 1

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

m^{6} \times 3 m - 1 = 0

Multiply

More Steps

Multiply the terms

m^{6} \times 3 m

Multiply the terms with the same base by adding their exponents

m^{6 + 1} \times 3

Add the numbers

m^{7} \times 3

Use the commutative property to reorder the terms

3 m^{7}

3 m^{7} - 1 = 0

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

3 m^{7} = 0 + 1

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

3 m^{7} = 1

Divide both sides

\frac{3 m ^{7}}{3} = \frac{1}{3}

Divide the numbers

m^{7} = \frac{1}{3}

Take the 7 -th root on both sides of the equation

7 m^{7} = 7 \frac{1}{3}

Calculate

m = 7 \frac{1}{3}

Solution

More Steps

Evaluate

7 \frac{1}{3}

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

\frac{7 1}{7 3}

Simplify the radical expression

\frac{1}{7 3}

Multiply by the Conjugate

\frac{7 3 ^{6}}{7 3 \times 7 3 ^{6}}

Simplify

\frac{7 729}{7 3 \times 7 3 ^{6}}

Multiply the numbers

More Steps

Evaluate

73 \times 7 3^{6}

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

7 3 \times 3^{6}

Calculate the product

7 3^{7}

Reduce the index of the radical and exponent with 7

3

\frac{7 729}{3}

m = \frac{7 729}{3}

Alternative Form

m \approx 0.854751

Show Solution