Solve h^5590-8-0 - ScanMath

Question

Simplify the expression

590 h^{5} - 8

Evaluate

h^{5} \times 590 - 8 - 0

Use the commutative property to reorder the terms

590 h^{5} - 8 - 0

Solution

590 h^{5} - 8

Show Solution

2 (295 h^{5} - 4)

Evaluate

h^{5} \times 590 - 8 - 0

Use the commutative property to reorder the terms

590 h^{5} - 8 - 0

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

590 h^{5} - 8

Solution

2 (295 h^{5} - 4)

Show Solution

h = \frac{5 4 \times 29 5 ^{4}}{295}

Alternative Form

h \approx 0.423104

Evaluate

h^{5} \times 590 - 8 - 0

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

h^{5} \times 590 - 8 - 0 = 0

Use the commutative property to reorder the terms

590 h^{5} - 8 - 0 = 0

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

590 h^{5} - 8 = 0

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

590 h^{5} = 0 + 8

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

590 h^{5} = 8

Divide both sides

\frac{590 h ^{5}}{590} = \frac{8}{590}

Divide the numbers

h^{5} = \frac{8}{590}

Cancel out the common factor 2

h^{5} = \frac{4}{295}

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

5 h^{5} = 5 \frac{4}{295}

Calculate

h = 5 \frac{4}{295}

Solution

More Steps

Evaluate

5 \frac{4}{295}

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

\frac{5 4}{5 295}

Multiply by the Conjugate

\frac{5 4 \times 5 29 5 ^{4}}{5 295 \times 5 29 5 ^{4}}

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

\frac{5 4 \times 29 5 ^{4}}{5 295 \times 5 29 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5295 \times 5 29 5^{4}

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

5 295 \times 29 5^{4}

Calculate the product

5 29 5^{5}

Reduce the index of the radical and exponent with 5

295

\frac{5 4 \times 29 5 ^{4}}{295}

h = \frac{5 4 \times 29 5 ^{4}}{295}

Alternative Form

h \approx 0.423104

Show Solution