Solve s^5884-147-0

Question

Simplify the expression

884 s^{5} - 147

Evaluate

s^{5} \times 884 - 147 - 0

Use the commutative property to reorder the terms

884 s^{5} - 147 - 0

Solution

884 s^{5} - 147

Show Solution

s = \frac{5 147 \times 88 4 ^{4}}{884}

Alternative Form

s \approx 0.698511

Evaluate

s^{5} \times 884 - 147 - 0

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

s^{5} \times 884 - 147 - 0 = 0

Use the commutative property to reorder the terms

884 s^{5} - 147 - 0 = 0

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

884 s^{5} - 147 = 0

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

884 s^{5} = 0 + 147

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

884 s^{5} = 147

Divide both sides

\frac{884 s ^{5}}{884} = \frac{147}{884}

Divide the numbers

s^{5} = \frac{147}{884}

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

5 s^{5} = 5 \frac{147}{884}

Calculate

s = 5 \frac{147}{884}

Solution

More Steps

Evaluate

5 \frac{147}{884}

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

\frac{5 147}{5 884}

Multiply by the Conjugate

\frac{5 147 \times 5 88 4 ^{4}}{5 884 \times 5 88 4 ^{4}}

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

\frac{5 147 \times 88 4 ^{4}}{5 884 \times 5 88 4 ^{4}}

Multiply the numbers

More Steps

Evaluate

5884 \times 5 88 4^{4}

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

5 884 \times 88 4^{4}

Calculate the product

5 88 4^{5}

Reduce the index of the radical and exponent with 5

884

\frac{5 147 \times 88 4 ^{4}}{884}

s = \frac{5 147 \times 88 4 ^{4}}{884}

Alternative Form

s \approx 0.698511

Show Solution