Solve s^5660-803-0

Question

Simplify the expression

660 s^{5} - 803

Evaluate

s^{5} \times 660 - 803 - 0

Use the commutative property to reorder the terms

660 s^{5} - 803 - 0

Solution

660 s^{5} - 803

Show Solution

11 (60 s^{5} - 73)

Evaluate

s^{5} \times 660 - 803 - 0

Use the commutative property to reorder the terms

660 s^{5} - 803 - 0

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

660 s^{5} - 803

Solution

11 (60 s^{5} - 73)

Show Solution

s = \frac{5 73 \times 6 0 ^{4}}{60}

Alternative Form

s \approx 1.040002

Evaluate

s^{5} \times 660 - 803 - 0

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

s^{5} \times 660 - 803 - 0 = 0

Use the commutative property to reorder the terms

660 s^{5} - 803 - 0 = 0

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

660 s^{5} - 803 = 0

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

660 s^{5} = 0 + 803

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

660 s^{5} = 803

Divide both sides

\frac{660 s ^{5}}{660} = \frac{803}{660}

Divide the numbers

s^{5} = \frac{803}{660}

Cancel out the common factor 11

s^{5} = \frac{73}{60}

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

5 s^{5} = 5 \frac{73}{60}

Calculate

s = 5 \frac{73}{60}

Solution

More Steps

Evaluate

5 \frac{73}{60}

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

\frac{5 73}{5 60}

Multiply by the Conjugate

\frac{5 73 \times 5 6 0 ^{4}}{5 60 \times 5 6 0 ^{4}}

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

\frac{5 73 \times 6 0 ^{4}}{5 60 \times 5 6 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

560 \times 5 6 0^{4}

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

5 60 \times 6 0^{4}

Calculate the product

5 6 0^{5}

Reduce the index of the radical and exponent with 5

60

\frac{5 73 \times 6 0 ^{4}}{60}

s = \frac{5 73 \times 6 0 ^{4}}{60}

Alternative Form

s \approx 1.040002

Show Solution