Solve s^5820-27 - ScanMath

Question

Simplify the expression

820 s^{5} - 27

Evaluate

s^{5} \times 820 - 27

Solution

820 s^{5} - 27

Show Solution

s = \frac{5 27 \times 82 0 ^{4}}{820}

Alternative Form

s \approx 0.505254

Evaluate

s^{5} \times 820 - 27

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

s^{5} \times 820 - 27 = 0

Use the commutative property to reorder the terms

820 s^{5} - 27 = 0

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

820 s^{5} = 0 + 27

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

820 s^{5} = 27

Divide both sides

\frac{820 s ^{5}}{820} = \frac{27}{820}

Divide the numbers

s^{5} = \frac{27}{820}

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

5 s^{5} = 5 \frac{27}{820}

Calculate

s = 5 \frac{27}{820}

Solution

More Steps

Evaluate

5 \frac{27}{820}

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

\frac{5 27}{5 820}

Multiply by the Conjugate

\frac{5 27 \times 5 82 0 ^{4}}{5 820 \times 5 82 0 ^{4}}

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

\frac{5 27 \times 82 0 ^{4}}{5 820 \times 5 82 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

5820 \times 5 82 0^{4}

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

5 820 \times 82 0^{4}

Calculate the product

5 82 0^{5}

Reduce the index of the radical and exponent with 5

820

\frac{5 27 \times 82 0 ^{4}}{820}

s = \frac{5 27 \times 82 0 ^{4}}{820}

Alternative Form

s \approx 0.505254

Show Solution