Solve m^6201-1 - ScanMath

Question

Simplify the expression

201 m^{6} - 1

Evaluate

m^{6} \times 201 - 1

Solution

201 m^{6} - 1

Show Solution

m_{1} = - \frac{6 20 1 ^{5}}{201}, m_{2} = \frac{6 20 1 ^{5}}{201}

Alternative Form

m_{1} \approx - 0.413175, m_{2} \approx 0.413175

Evaluate

m^{6} \times 201 - 1

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

m^{6} \times 201 - 1 = 0

Use the commutative property to reorder the terms

201 m^{6} - 1 = 0

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

201 m^{6} = 0 + 1

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

201 m^{6} = 1

Divide both sides

\frac{201 m ^{6}}{201} = \frac{1}{201}

Divide the numbers

m^{6} = \frac{1}{201}

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

m = \pm 6 \frac{1}{201}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{201}

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

\frac{6 1}{6 201}

Simplify the radical expression

\frac{1}{6 201}

Multiply by the Conjugate

\frac{6 20 1 ^{5}}{6 201 \times 6 20 1 ^{5}}

Multiply the numbers

More Steps

Evaluate

6201 \times 6 20 1^{5}

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

6 201 \times 20 1^{5}

Calculate the product

6 20 1^{6}

Reduce the index of the radical and exponent with 6

201

\frac{6 20 1 ^{5}}{201}

m = \pm \frac{6 20 1 ^{5}}{201}

Separate the equation into 2 possible cases

m = \frac{6 20 1 ^{5}}{201} m = - \frac{6 20 1 ^{5}}{201}

Solution

m_{1} = - \frac{6 20 1 ^{5}}{201}, m_{2} = \frac{6 20 1 ^{5}}{201}

Alternative Form

m_{1} \approx - 0.413175, m_{2} \approx 0.413175

Show Solution