Solve 92-4y^58011

Question

Simplify the expression

92 - 32044 y^{5}

Evaluate

92 - 4 y^{5} \times 8011

Solution

92 - 32044 y^{5}

Show Solution

4 (23 - 8011 y^{5})

Evaluate

92 - 4 y^{5} \times 8011

Multiply the terms

92 - 32044 y^{5}

Solution

4 (23 - 8011 y^{5})

Show Solution

y = \frac{5 23 \times 801 1 ^{4}}{8011}

Alternative Form

y \approx 0.310176

Evaluate

92 - 4 y^{5} \times 8011

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

92 - 4 y^{5} \times 8011 = 0

Multiply the terms

92 - 32044 y^{5} = 0

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

- 32044 y^{5} = 0 - 92

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

- 32044 y^{5} = - 92

Change the signs on both sides of the equation

32044 y^{5} = 92

Divide both sides

\frac{32044 y ^{5}}{32044} = \frac{92}{32044}

Divide the numbers

y^{5} = \frac{92}{32044}

Cancel out the common factor 4

y^{5} = \frac{23}{8011}

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

5 y^{5} = 5 \frac{23}{8011}

Calculate

y = 5 \frac{23}{8011}

Solution

More Steps

Evaluate

5 \frac{23}{8011}

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

\frac{5 23}{5 8011}

Multiply by the Conjugate

\frac{5 23 \times 5 801 1 ^{4}}{5 8011 \times 5 801 1 ^{4}}

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

\frac{5 23 \times 801 1 ^{4}}{5 8011 \times 5 801 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

58011 \times 5 801 1^{4}

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

5 8011 \times 801 1^{4}

Calculate the product

5 801 1^{5}

Reduce the index of the radical and exponent with 5

8011

\frac{5 23 \times 801 1 ^{4}}{8011}

y = \frac{5 23 \times 801 1 ^{4}}{8011}

Alternative Form

y \approx 0.310176

Show Solution