Solve s^528-7020-60

Question

Simplify the expression

28 s^{5} - 7080

Evaluate

s^{5} \times 28 - 7020 - 60

Use the commutative property to reorder the terms

28 s^{5} - 7020 - 60

Solution

28 s^{5} - 7080

Show Solution

4 (7 s^{5} - 1770)

Evaluate

s^{5} \times 28 - 7020 - 60

Use the commutative property to reorder the terms

28 s^{5} - 7020 - 60

Subtract the numbers

28 s^{5} - 7080

Solution

4 (7 s^{5} - 1770)

Show Solution

s = \frac{5 4249770}{7}

Alternative Form

s \approx 3.023953

Evaluate

s^{5} \times 28 - 7020 - 60

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

s^{5} \times 28 - 7020 - 60 = 0

Use the commutative property to reorder the terms

28 s^{5} - 7020 - 60 = 0

Subtract the numbers

28 s^{5} - 7080 = 0

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

28 s^{5} = 0 + 7080

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

28 s^{5} = 7080

Divide both sides

\frac{28 s ^{5}}{28} = \frac{7080}{28}

Divide the numbers

s^{5} = \frac{7080}{28}

Cancel out the common factor 4

s^{5} = \frac{1770}{7}

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

5 s^{5} = 5 \frac{1770}{7}

Calculate

s = 5 \frac{1770}{7}

Solution

More Steps

Evaluate

5 \frac{1770}{7}

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

\frac{5 1770}{5 7}

Multiply by the Conjugate

\frac{5 1770 \times 5 7 ^{4}}{5 7 \times 5 7 ^{4}}

Simplify

\frac{5 1770 \times 5 2401}{5 7 \times 5 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

51770 \times 52401

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

5 1770 \times 2401

Calculate the product

54249770

\frac{5 4249770}{5 7 \times 5 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

57 \times 5 7^{4}

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

5 7 \times 7^{4}

Calculate the product

5 7^{5}

Reduce the index of the radical and exponent with 5

7

\frac{5 4249770}{7}

s = \frac{5 4249770}{7}

Alternative Form

s \approx 3.023953

Show Solution