Solve h^3256-1-0 - ScanMath

Question

Simplify the expression

256 h^{3} - 1

Evaluate

h^{3} \times 256 - 1 - 0

Use the commutative property to reorder the terms

256 h^{3} - 1 - 0

Solution

256 h^{3} - 1

Show Solution

h = \frac{3 2}{8}

Alternative Form

h \approx 0.15749

Evaluate

h^{3} \times 256 - 1 - 0

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

h^{3} \times 256 - 1 - 0 = 0

Use the commutative property to reorder the terms

256 h^{3} - 1 - 0 = 0

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

256 h^{3} - 1 = 0

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

256 h^{3} = 0 + 1

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

256 h^{3} = 1

Divide both sides

\frac{256 h ^{3}}{256} = \frac{1}{256}

Divide the numbers

h^{3} = \frac{1}{256}

Take the 3 -th root on both sides of the equation

3 h^{3} = 3 \frac{1}{256}

Calculate

h = 3 \frac{1}{256}

Simplify the root

More Steps

Evaluate

3 \frac{1}{256}

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

\frac{3 1}{3 256}

Simplify the radical expression

\frac{1}{3 256}

Simplify the radical expression

More Steps

Evaluate

3256

Write the expression as a product where the root of one of the factors can be evaluated

3 64 \times 4

Write the number in exponential form with the base of 4

3 4^{3} \times 4

The root of a product is equal to the product of the roots of each factor

3 4^{3} \times 34

Reduce the index of the radical and exponent with 3

434

\frac{1}{4 3 4}

Multiply by the Conjugate

\frac{3 4 ^{2}}{4 3 4 \times 3 4 ^{2}}

Simplify

\frac{2 3 2}{4 3 4 \times 3 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

434 \times 3 4^{2}

Multiply the terms

4 \times 2^{2}

Multiply the terms

2^{4}

\frac{2 3 2}{2 ^{4}}

Reduce the fraction

More Steps

Evaluate

\frac{2}{2 ^{4}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{2 ^{4 - 1}}

Subtract the terms

\frac{1}{2 ^{3}}

\frac{3 2}{2 ^{3}}

h = \frac{3 2}{2 ^{3}}

Solution

h = \frac{3 2}{8}

Alternative Form

h \approx 0.15749

Show Solution