Solve h^5580-4 - ScanMath

Question

Simplify the expression

580 h^{5} - 4

Evaluate

h^{5} \times 580 - 4

Solution

580 h^{5} - 4

Show Solution

4 (145 h^{5} - 1)

Evaluate

h^{5} \times 580 - 4

Use the commutative property to reorder the terms

580 h^{5} - 4

Solution

4 (145 h^{5} - 1)

Show Solution

h = \frac{5 14 5 ^{4}}{145}

Alternative Form

h \approx 0.369595

Evaluate

h^{5} \times 580 - 4

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

h^{5} \times 580 - 4 = 0

Use the commutative property to reorder the terms

580 h^{5} - 4 = 0

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

580 h^{5} = 0 + 4

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

580 h^{5} = 4

Divide both sides

\frac{580 h ^{5}}{580} = \frac{4}{580}

Divide the numbers

h^{5} = \frac{4}{580}

Cancel out the common factor 4

h^{5} = \frac{1}{145}

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

5 h^{5} = 5 \frac{1}{145}

Calculate

h = 5 \frac{1}{145}

Solution

More Steps

Evaluate

5 \frac{1}{145}

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

\frac{5 1}{5 145}

Simplify the radical expression

\frac{1}{5 145}

Multiply by the Conjugate

\frac{5 14 5 ^{4}}{5 145 \times 5 14 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5145 \times 5 14 5^{4}

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

5 145 \times 14 5^{4}

Calculate the product

5 14 5^{5}

Reduce the index of the radical and exponent with 5

145

\frac{5 14 5 ^{4}}{145}

h = \frac{5 14 5 ^{4}}{145}

Alternative Form

h \approx 0.369595

Show Solution