Solve h^5522-802-0

Question

Simplify the expression

522 h^{5} - 802

Evaluate

h^{5} \times 522 - 802 - 0

Use the commutative property to reorder the terms

522 h^{5} - 802 - 0

Solution

522 h^{5} - 802

Show Solution

2 (261 h^{5} - 401)

Evaluate

h^{5} \times 522 - 802 - 0

Use the commutative property to reorder the terms

522 h^{5} - 802 - 0

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

522 h^{5} - 802

Solution

2 (261 h^{5} - 401)

Show Solution

h = \frac{5 401 \times 26 1 ^{4}}{261}

Alternative Form

h \approx 1.089684

Evaluate

h^{5} \times 522 - 802 - 0

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

h^{5} \times 522 - 802 - 0 = 0

Use the commutative property to reorder the terms

522 h^{5} - 802 - 0 = 0

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

522 h^{5} - 802 = 0

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

522 h^{5} = 0 + 802

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

522 h^{5} = 802

Divide both sides

\frac{522 h ^{5}}{522} = \frac{802}{522}

Divide the numbers

h^{5} = \frac{802}{522}

Cancel out the common factor 2

h^{5} = \frac{401}{261}

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

5 h^{5} = 5 \frac{401}{261}

Calculate

h = 5 \frac{401}{261}

Solution

More Steps

Evaluate

5 \frac{401}{261}

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

\frac{5 401}{5 261}

Multiply by the Conjugate

\frac{5 401 \times 5 26 1 ^{4}}{5 261 \times 5 26 1 ^{4}}

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

\frac{5 401 \times 26 1 ^{4}}{5 261 \times 5 26 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

5261 \times 5 26 1^{4}

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

5 261 \times 26 1^{4}

Calculate the product

5 26 1^{5}

Reduce the index of the radical and exponent with 5

261

\frac{5 401 \times 26 1 ^{4}}{261}

h = \frac{5 401 \times 26 1 ^{4}}{261}

Alternative Form

h \approx 1.089684

Show Solution