Solve s^5617-13-0

Question

Simplify the expression

Solution

617 s^{5} - 13

Evaluate

s^{5} \times 617 - 13 - 0

Use the commutative property to reorder the terms

617 s^{5} - 13 - 0

Solution

617 s^{5} - 13

Show Solution

Find the roots of the algebra expression

s = \frac{5 13 \times 61 7 ^{4}}{617}

Alternative Form

s \approx 0.462095

Evaluate

s^{5} \times 617 - 13 - 0

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

s^{5} \times 617 - 13 - 0 = 0

Use the commutative property to reorder the terms

617 s^{5} - 13 - 0 = 0

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

617 s^{5} - 13 = 0

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

617 s^{5} = 0 + 13

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

617 s^{5} = 13

Divide both sides

\frac{617 s ^{5}}{617} = \frac{13}{617}

Divide the numbers

s^{5} = \frac{13}{617}

Take the 5 -th root on both sides of the equation

5 s^{5} = 5 \frac{13}{617}

Calculate

s = 5 \frac{13}{617}

Solution

More Steps

Evaluate

5 \frac{13}{617}

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

\frac{5 13}{5 617}

Multiply by the Conjugate

\frac{5 13 \times 5 61 7 ^{4}}{5 617 \times 5 61 7 ^{4}}

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

\frac{5 13 \times 61 7 ^{4}}{5 617 \times 5 61 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

5617 \times 5 61 7^{4}

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

5 617 \times 61 7^{4}

Calculate the product

5 61 7^{5}

Reduce the index of the radical and exponent with 5

617

\frac{5 13 \times 61 7 ^{4}}{617}

s = \frac{5 13 \times 61 7 ^{4}}{617}

Alternative Form

s \approx 0.462095

Show Solution