Solve h^5322-28-0

Question

Simplify the expression

322 h^{5} - 28

Evaluate

h^{5} \times 322 - 28 - 0

Use the commutative property to reorder the terms

322 h^{5} - 28 - 0

Solution

322 h^{5} - 28

Show Solution

14 (23 h^{5} - 2)

Evaluate

h^{5} \times 322 - 28 - 0

Use the commutative property to reorder the terms

322 h^{5} - 28 - 0

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

322 h^{5} - 28

Solution

14 (23 h^{5} - 2)

Show Solution

h = \frac{5 2 \times 2 3 ^{4}}{23}

Alternative Form

h \approx 0.613565

Evaluate

h^{5} \times 322 - 28 - 0

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

h^{5} \times 322 - 28 - 0 = 0

Use the commutative property to reorder the terms

322 h^{5} - 28 - 0 = 0

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

322 h^{5} - 28 = 0

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

322 h^{5} = 0 + 28

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

322 h^{5} = 28

Divide both sides

\frac{322 h ^{5}}{322} = \frac{28}{322}

Divide the numbers

h^{5} = \frac{28}{322}

Cancel out the common factor 14

h^{5} = \frac{2}{23}

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

5 h^{5} = 5 \frac{2}{23}

Calculate

h = 5 \frac{2}{23}

Solution

More Steps

Evaluate

5 \frac{2}{23}

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

\frac{5 2}{5 23}

Multiply by the Conjugate

\frac{5 2 \times 5 2 3 ^{4}}{5 23 \times 5 2 3 ^{4}}

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

\frac{5 2 \times 2 3 ^{4}}{5 23 \times 5 2 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

523 \times 5 2 3^{4}

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

5 23 \times 2 3^{4}

Calculate the product

5 2 3^{5}

Reduce the index of the radical and exponent with 5

23

\frac{5 2 \times 2 3 ^{4}}{23}

h = \frac{5 2 \times 2 3 ^{4}}{23}

Alternative Form

h \approx 0.613565

Show Solution