Solve h^5628-8 - ScanMath

Question

Simplify the expression

628 h^{5} - 8

Evaluate

h^{5} \times 628 - 8

Solution

628 h^{5} - 8

Show Solution

4 (157 h^{5} - 2)

Evaluate

h^{5} \times 628 - 8

Use the commutative property to reorder the terms

628 h^{5} - 8

Solution

4 (157 h^{5} - 2)

Show Solution

h = \frac{5 2 \times 15 7 ^{4}}{157}

Alternative Form

h \approx 0.417855

Evaluate

h^{5} \times 628 - 8

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

h^{5} \times 628 - 8 = 0

Use the commutative property to reorder the terms

628 h^{5} - 8 = 0

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

628 h^{5} = 0 + 8

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

628 h^{5} = 8

Divide both sides

\frac{628 h ^{5}}{628} = \frac{8}{628}

Divide the numbers

h^{5} = \frac{8}{628}

Cancel out the common factor 4

h^{5} = \frac{2}{157}

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

5 h^{5} = 5 \frac{2}{157}

Calculate

h = 5 \frac{2}{157}

Solution

More Steps

Evaluate

5 \frac{2}{157}

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

\frac{5 2}{5 157}

Multiply by the Conjugate

\frac{5 2 \times 5 15 7 ^{4}}{5 157 \times 5 15 7 ^{4}}

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

\frac{5 2 \times 15 7 ^{4}}{5 157 \times 5 15 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

5157 \times 5 15 7^{4}

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

5 157 \times 15 7^{4}

Calculate the product

5 15 7^{5}

Reduce the index of the radical and exponent with 5

157

\frac{5 2 \times 15 7 ^{4}}{157}

h = \frac{5 2 \times 15 7 ^{4}}{157}

Alternative Form

h \approx 0.417855

Show Solution