Solve h^5649-2-0 - ScanMath

Question

Simplify the expression

649 h^{5} - 2

Evaluate

h^{5} \times 649 - 2 - 0

Use the commutative property to reorder the terms

649 h^{5} - 2 - 0

Solution

649 h^{5} - 2

Show Solution

h = \frac{5 2 \times 64 9 ^{4}}{649}

Alternative Form

h \approx 0.314599

Evaluate

h^{5} \times 649 - 2 - 0

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

h^{5} \times 649 - 2 - 0 = 0

Use the commutative property to reorder the terms

649 h^{5} - 2 - 0 = 0

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

649 h^{5} - 2 = 0

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

649 h^{5} = 0 + 2

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

649 h^{5} = 2

Divide both sides

\frac{649 h ^{5}}{649} = \frac{2}{649}

Divide the numbers

h^{5} = \frac{2}{649}

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

5 h^{5} = 5 \frac{2}{649}

Calculate

h = 5 \frac{2}{649}

Solution

More Steps

Evaluate

5 \frac{2}{649}

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

\frac{5 2}{5 649}

Multiply by the Conjugate

\frac{5 2 \times 5 64 9 ^{4}}{5 649 \times 5 64 9 ^{4}}

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

\frac{5 2 \times 64 9 ^{4}}{5 649 \times 5 64 9 ^{4}}

Multiply the numbers

More Steps

Evaluate

5649 \times 5 64 9^{4}

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

5 649 \times 64 9^{4}

Calculate the product

5 64 9^{5}

Reduce the index of the radical and exponent with 5

649

\frac{5 2 \times 64 9 ^{4}}{649}

h = \frac{5 2 \times 64 9 ^{4}}{649}

Alternative Form

h \approx 0.314599

Show Solution