Solve h^5522-803-0

Question

Simplify the expression

522 h^{5} - 803

Evaluate

h^{5} \times 522 - 803 - 0

Use the commutative property to reorder the terms

522 h^{5} - 803 - 0

Solution

522 h^{5} - 803

Show Solution

h = \frac{5 803 \times 52 2 ^{4}}{522}

Alternative Form

h \approx 1.089956

Evaluate

h^{5} \times 522 - 803 - 0

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

h^{5} \times 522 - 803 - 0 = 0

Use the commutative property to reorder the terms

522 h^{5} - 803 - 0 = 0

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

522 h^{5} - 803 = 0

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

522 h^{5} = 0 + 803

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

522 h^{5} = 803

Divide both sides

\frac{522 h ^{5}}{522} = \frac{803}{522}

Divide the numbers

h^{5} = \frac{803}{522}

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

5 h^{5} = 5 \frac{803}{522}

Calculate

h = 5 \frac{803}{522}

Solution

More Steps

Evaluate

5 \frac{803}{522}

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

\frac{5 803}{5 522}

Multiply by the Conjugate

\frac{5 803 \times 5 52 2 ^{4}}{5 522 \times 5 52 2 ^{4}}

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

\frac{5 803 \times 52 2 ^{4}}{5 522 \times 5 52 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

5522 \times 5 52 2^{4}

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

5 522 \times 52 2^{4}

Calculate the product

5 52 2^{5}

Reduce the index of the radical and exponent with 5

522

\frac{5 803 \times 52 2 ^{4}}{522}

h = \frac{5 803 \times 52 2 ^{4}}{522}

Alternative Form

h \approx 1.089956

Show Solution