Solve h^5322-31-0

Question

Simplify the expression

322 h^{5} - 31

Evaluate

h^{5} \times 322 - 31 - 0

Use the commutative property to reorder the terms

322 h^{5} - 31 - 0

Solution

322 h^{5} - 31

Show Solution

h = \frac{5 31 \times 32 2 ^{4}}{322}

Alternative Form

h \approx 0.626183

Evaluate

h^{5} \times 322 - 31 - 0

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

h^{5} \times 322 - 31 - 0 = 0

Use the commutative property to reorder the terms

322 h^{5} - 31 - 0 = 0

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

322 h^{5} - 31 = 0

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

322 h^{5} = 0 + 31

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

322 h^{5} = 31

Divide both sides

\frac{322 h ^{5}}{322} = \frac{31}{322}

Divide the numbers

h^{5} = \frac{31}{322}

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

5 h^{5} = 5 \frac{31}{322}

Calculate

h = 5 \frac{31}{322}

Solution

More Steps

Evaluate

5 \frac{31}{322}

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

\frac{5 31}{5 322}

Multiply by the Conjugate

\frac{5 31 \times 5 32 2 ^{4}}{5 322 \times 5 32 2 ^{4}}

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

\frac{5 31 \times 32 2 ^{4}}{5 322 \times 5 32 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

5322 \times 5 32 2^{4}

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

5 322 \times 32 2^{4}

Calculate the product

5 32 2^{5}

Reduce the index of the radical and exponent with 5

322

\frac{5 31 \times 32 2 ^{4}}{322}

h = \frac{5 31 \times 32 2 ^{4}}{322}

Alternative Form

h \approx 0.626183

Show Solution