Solve s^5601-8 - ScanMath

Question

Simplify the expression

601 s^{5} - 8

Evaluate

s^{5} \times 601 - 8

Solution

601 s^{5} - 8

Show Solution

s = \frac{5 8 \times 60 1 ^{4}}{601}

Alternative Form

s \approx 0.421544

Evaluate

s^{5} \times 601 - 8

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

s^{5} \times 601 - 8 = 0

Use the commutative property to reorder the terms

601 s^{5} - 8 = 0

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

601 s^{5} = 0 + 8

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

601 s^{5} = 8

Divide both sides

\frac{601 s ^{5}}{601} = \frac{8}{601}

Divide the numbers

s^{5} = \frac{8}{601}

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

5 s^{5} = 5 \frac{8}{601}

Calculate

s = 5 \frac{8}{601}

Solution

More Steps

Evaluate

5 \frac{8}{601}

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

\frac{5 8}{5 601}

Multiply by the Conjugate

\frac{5 8 \times 5 60 1 ^{4}}{5 601 \times 5 60 1 ^{4}}

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

\frac{5 8 \times 60 1 ^{4}}{5 601 \times 5 60 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

5601 \times 5 60 1^{4}

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

5 601 \times 60 1^{4}

Calculate the product

5 60 1^{5}

Reduce the index of the radical and exponent with 5

601

\frac{5 8 \times 60 1 ^{4}}{601}

s = \frac{5 8 \times 60 1 ^{4}}{601}

Alternative Form

s \approx 0.421544

Show Solution