Solve h^5937-1-0 - ScanMath

Question

Simplify the expression

937 h^{5} - 1

Evaluate

h^{5} \times 937 - 1 - 0

Use the commutative property to reorder the terms

937 h^{5} - 1 - 0

Solution

937 h^{5} - 1

Show Solution

h = \frac{5 93 7 ^{4}}{937}

Alternative Form

h \approx 0.254479

Evaluate

h^{5} \times 937 - 1 - 0

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

h^{5} \times 937 - 1 - 0 = 0

Use the commutative property to reorder the terms

937 h^{5} - 1 - 0 = 0

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

937 h^{5} - 1 = 0

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

937 h^{5} = 0 + 1

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

937 h^{5} = 1

Divide both sides

\frac{937 h ^{5}}{937} = \frac{1}{937}

Divide the numbers

h^{5} = \frac{1}{937}

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

5 h^{5} = 5 \frac{1}{937}

Calculate

h = 5 \frac{1}{937}

Solution

More Steps

Evaluate

5 \frac{1}{937}

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

\frac{5 1}{5 937}

Simplify the radical expression

\frac{1}{5 937}

Multiply by the Conjugate

\frac{5 93 7 ^{4}}{5 937 \times 5 93 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

5937 \times 5 93 7^{4}

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

5 937 \times 93 7^{4}

Calculate the product

5 93 7^{5}

Reduce the index of the radical and exponent with 5

937

\frac{5 93 7 ^{4}}{937}

h = \frac{5 93 7 ^{4}}{937}

Alternative Form

h \approx 0.254479

Show Solution