Solve s^657-1 - ScanMath

Question

Simplify the expression

57 s^{6} - 1

Evaluate

s^{6} \times 57 - 1

Solution

57 s^{6} - 1

Show Solution

s_{1} = - \frac{6 5 7 ^{5}}{57}, s_{2} = \frac{6 5 7 ^{5}}{57}

Alternative Form

s_{1} \approx - 0.509746, s_{2} \approx 0.509746

Evaluate

s^{6} \times 57 - 1

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

s^{6} \times 57 - 1 = 0

Use the commutative property to reorder the terms

57 s^{6} - 1 = 0

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

57 s^{6} = 0 + 1

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

57 s^{6} = 1

Divide both sides

\frac{57 s ^{6}}{57} = \frac{1}{57}

Divide the numbers

s^{6} = \frac{1}{57}

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

s = \pm 6 \frac{1}{57}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{57}

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

\frac{6 1}{6 57}

Simplify the radical expression

\frac{1}{6 57}

Multiply by the Conjugate

\frac{6 5 7 ^{5}}{6 57 \times 6 5 7 ^{5}}

Multiply the numbers

More Steps

Evaluate

657 \times 6 5 7^{5}

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

6 57 \times 5 7^{5}

Calculate the product

6 5 7^{6}

Reduce the index of the radical and exponent with 6

57

\frac{6 5 7 ^{5}}{57}

s = \pm \frac{6 5 7 ^{5}}{57}

Separate the equation into 2 possible cases

s = \frac{6 5 7 ^{5}}{57} s = - \frac{6 5 7 ^{5}}{57}

Solution

s_{1} = - \frac{6 5 7 ^{5}}{57}, s_{2} = \frac{6 5 7 ^{5}}{57}

Alternative Form

s_{1} \approx - 0.509746, s_{2} \approx 0.509746

Show Solution