Solve s^5921-409-0

Question

Simplify the expression

921 s^{5} - 409

Evaluate

s^{5} \times 921 - 409 - 0

Use the commutative property to reorder the terms

921 s^{5} - 409 - 0

Solution

921 s^{5} - 409

Show Solution

s = \frac{5 409 \times 92 1 ^{4}}{921}

Alternative Form

s \approx 0.850144

Evaluate

s^{5} \times 921 - 409 - 0

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

s^{5} \times 921 - 409 - 0 = 0

Use the commutative property to reorder the terms

921 s^{5} - 409 - 0 = 0

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

921 s^{5} - 409 = 0

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

921 s^{5} = 0 + 409

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

921 s^{5} = 409

Divide both sides

\frac{921 s ^{5}}{921} = \frac{409}{921}

Divide the numbers

s^{5} = \frac{409}{921}

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

5 s^{5} = 5 \frac{409}{921}

Calculate

s = 5 \frac{409}{921}

Solution

More Steps

Evaluate

5 \frac{409}{921}

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

\frac{5 409}{5 921}

Multiply by the Conjugate

\frac{5 409 \times 5 92 1 ^{4}}{5 921 \times 5 92 1 ^{4}}

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

\frac{5 409 \times 92 1 ^{4}}{5 921 \times 5 92 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

5921 \times 5 92 1^{4}

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

5 921 \times 92 1^{4}

Calculate the product

5 92 1^{5}

Reduce the index of the radical and exponent with 5

921

\frac{5 409 \times 92 1 ^{4}}{921}

s = \frac{5 409 \times 92 1 ^{4}}{921}

Alternative Form

s \approx 0.850144

Show Solution