Solve h^5525-17-0

Question

Simplify the expression

525 h^{5} - 17

Evaluate

h^{5} \times 525 - 17 - 0

Use the commutative property to reorder the terms

525 h^{5} - 17 - 0

Solution

525 h^{5} - 17

Show Solution

h = \frac{5 17 \times 52 5 ^{4}}{525}

Alternative Form

h \approx 0.503568

Evaluate

h^{5} \times 525 - 17 - 0

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

h^{5} \times 525 - 17 - 0 = 0

Use the commutative property to reorder the terms

525 h^{5} - 17 - 0 = 0

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

525 h^{5} - 17 = 0

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

525 h^{5} = 0 + 17

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

525 h^{5} = 17

Divide both sides

\frac{525 h ^{5}}{525} = \frac{17}{525}

Divide the numbers

h^{5} = \frac{17}{525}

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

5 h^{5} = 5 \frac{17}{525}

Calculate

h = 5 \frac{17}{525}

Solution

More Steps

Evaluate

5 \frac{17}{525}

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

\frac{5 17}{5 525}

Multiply by the Conjugate

\frac{5 17 \times 5 52 5 ^{4}}{5 525 \times 5 52 5 ^{4}}

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

\frac{5 17 \times 52 5 ^{4}}{5 525 \times 5 52 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5525 \times 5 52 5^{4}

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

5 525 \times 52 5^{4}

Calculate the product

5 52 5^{5}

Reduce the index of the radical and exponent with 5

525

\frac{5 17 \times 52 5 ^{4}}{525}

h = \frac{5 17 \times 52 5 ^{4}}{525}

Alternative Form

h \approx 0.503568

Show Solution