Solve h^3080-1 - ScanMath

Question

Simplify the expression

80 h^{3} - 1

Evaluate

h^{3} \times 80 - 1

Solution

80 h^{3} - 1

Show Solution

h = \frac{3 100}{20}

Alternative Form

h \approx 0.232079

Evaluate

h^{3} \times 80 - 1

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

h^{3} \times 80 - 1 = 0

Use the commutative property to reorder the terms

80 h^{3} - 1 = 0

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

80 h^{3} = 0 + 1

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

80 h^{3} = 1

Divide both sides

\frac{80 h ^{3}}{80} = \frac{1}{80}

Divide the numbers

h^{3} = \frac{1}{80}

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

3 h^{3} = 3 \frac{1}{80}

Calculate

h = 3 \frac{1}{80}

Solution

More Steps

Evaluate

3 \frac{1}{80}

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

\frac{3 1}{3 80}

Simplify the radical expression

\frac{1}{3 80}

Simplify the radical expression

More Steps

Evaluate

380

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

3 8 \times 10

Write the number in exponential form with the base of 2

3 2^{3} \times 10

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

3 2^{3} \times 310

Reduce the index of the radical and exponent with 3

2310

\frac{1}{2 3 10}

Multiply by the Conjugate

\frac{3 1 0 ^{2}}{2 3 10 \times 3 1 0 ^{2}}

Simplify

\frac{3 100}{2 3 10 \times 3 1 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

2310 \times 3 1 0^{2}

Multiply the terms

2 \times 10

Multiply the terms

20

\frac{3 100}{20}

h = \frac{3 100}{20}

Alternative Form

h \approx 0.232079

Show Solution