Solve h^5216-404-0

Question

Simplify the expression

216 h^{5} - 404

Evaluate

h^{5} \times 216 - 404 - 0

Use the commutative property to reorder the terms

216 h^{5} - 404 - 0

Solution

216 h^{5} - 404

Show Solution

4 (54 h^{5} - 101)

Evaluate

h^{5} \times 216 - 404 - 0

Use the commutative property to reorder the terms

216 h^{5} - 404 - 0

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

216 h^{5} - 404

Solution

4 (54 h^{5} - 101)

Show Solution

h = \frac{5 101 \times 5 4 ^{4}}{54}

Alternative Form

h \approx 1.133406

Evaluate

h^{5} \times 216 - 404 - 0

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

h^{5} \times 216 - 404 - 0 = 0

Use the commutative property to reorder the terms

216 h^{5} - 404 - 0 = 0

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

216 h^{5} - 404 = 0

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

216 h^{5} = 0 + 404

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

216 h^{5} = 404

Divide both sides

\frac{216 h ^{5}}{216} = \frac{404}{216}

Divide the numbers

h^{5} = \frac{404}{216}

Cancel out the common factor 4

h^{5} = \frac{101}{54}

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

5 h^{5} = 5 \frac{101}{54}

Calculate

h = 5 \frac{101}{54}

Solution

More Steps

Evaluate

5 \frac{101}{54}

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

\frac{5 101}{5 54}

Multiply by the Conjugate

\frac{5 101 \times 5 5 4 ^{4}}{5 54 \times 5 5 4 ^{4}}

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

\frac{5 101 \times 5 4 ^{4}}{5 54 \times 5 5 4 ^{4}}

Multiply the numbers

More Steps

Evaluate

554 \times 5 5 4^{4}

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

5 54 \times 5 4^{4}

Calculate the product

5 5 4^{5}

Reduce the index of the radical and exponent with 5

54

\frac{5 101 \times 5 4 ^{4}}{54}

h = \frac{5 101 \times 5 4 ^{4}}{54}

Alternative Form

h \approx 1.133406

Show Solution