Solve s^5820-16 - ScanMath

Question

Simplify the expression

820 s^{5} - 16

Evaluate

s^{5} \times 820 - 16

Solution

820 s^{5} - 16

Show Solution

4 (205 s^{5} - 4)

Evaluate

s^{5} \times 820 - 16

Use the commutative property to reorder the terms

820 s^{5} - 16

Solution

4 (205 s^{5} - 4)

Show Solution

s = \frac{5 4 \times 20 5 ^{4}}{205}

Alternative Form

s \approx 0.455052

Evaluate

s^{5} \times 820 - 16

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

s^{5} \times 820 - 16 = 0

Use the commutative property to reorder the terms

820 s^{5} - 16 = 0

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

820 s^{5} = 0 + 16

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

820 s^{5} = 16

Divide both sides

\frac{820 s ^{5}}{820} = \frac{16}{820}

Divide the numbers

s^{5} = \frac{16}{820}

Cancel out the common factor 4

s^{5} = \frac{4}{205}

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

5 s^{5} = 5 \frac{4}{205}

Calculate

s = 5 \frac{4}{205}

Solution

More Steps

Evaluate

5 \frac{4}{205}

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

\frac{5 4}{5 205}

Multiply by the Conjugate

\frac{5 4 \times 5 20 5 ^{4}}{5 205 \times 5 20 5 ^{4}}

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

\frac{5 4 \times 20 5 ^{4}}{5 205 \times 5 20 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5205 \times 5 20 5^{4}

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

5 205 \times 20 5^{4}

Calculate the product

5 20 5^{5}

Reduce the index of the radical and exponent with 5

205

\frac{5 4 \times 20 5 ^{4}}{205}

s = \frac{5 4 \times 20 5 ^{4}}{205}

Alternative Form

s \approx 0.455052

Show Solution